Math Practice Problems - Rectangular Solids 2

Rectangular Solids 2 - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

Learn more about our online math practice software.
See some of our other supported math practice problems.

Complexity=3, Mode=word

Solve. Answer with proper units.

1. The surface area of a rectangular solid is 22 m².
The lengths of two of the sides are 1 m and 3 m.
What is the length of the other side?
length =

2. The volume of a rectangular solid is 2 yd³.
The length is 1 yd and the width is 1 yd. What is the height?
h =

Complexity=4, Mode=word

Solve. Answer with proper units.

1. The surface area of a rectangular solid is 52 m².
The lengths of two of the sides are 4 m and 3 m.
What is the length of the other side?
length =

2. The volume of a rectangular solid is 6 yd³.
The width is 1 yd and the height is 2 yd. What is the length?
L =

Complexity=6, Mode=word

Solve. Answer with proper units.

1. The surface area of a rectangular solid is 62 m².
The lengths of two of the sides are 2 m and 3 m.
What is the length of the other side?
length =

2. The volume of a rectangular solid is 60 in³.
The width is 5 in and the height is 4 in. What is the length?
L =

Complexity=8, Mode=word

Solve. Answer with proper units.

1. The surface area of a rectangular solid is 122 m².
The lengths of two of the sides are 7 m and 3 m.
What is the length of the other side?
length =

2. The volume of a rectangular solid is 80 ft³.
The length is 8 ft and the height is 2 ft. What is the width?
w =

Complexity=10, Mode=word

Solve. Answer with proper units.

1. The surface area of a rectangular solid is 112 ft².
The lengths of two of the sides are 8 ft and 2 ft.
What is the length of the other side?
length =

2. The volume of a rectangular solid is 240 yd³.
The length is 6 yd and the height is 8 yd. What is the width?
w =

Complexity=12, Mode=word

Solve. Answer with proper units.

1. The surface area of a rectangular solid is 344 cm².
The lengths of two of the sides are 10 cm and 6 cm.
What is the length of the other side?
length =

2. The volume of a rectangular solid is 72 in³.
The width is 2 in and the height is 3 in. What is the length?
L =

Answers

Complexity=3, Mode=word

Solve. Answer with proper units.

#	Problem	Correct Answer	Your Answer
1	The surface area of a rectangular solid is 22 m². The lengths of two of the sides are 1 m and 3 m. What is the length of the other side?	length =
Solution Surface Area = 2Lw + 2Lh + 2wh Pick h as the unknown (your choice doesn't matter) 22m² = (2 × 1m × 3m) + (2 × 1m × h) + (2 × 3m × h) 22m² = 6m² + (2 m)h + (6 m)h 16m² = (8 m)h 2m = h

#	Problem	Correct Answer	Your Answer
2	The volume of a rectangular solid is 2 yd³. The length is 1 yd and the width is 1 yd. What is the height?	h =
Solution V = Lwh 2yd³ = 1yd × 1yd × h 2yd² = 1yd × h 2yd = h

Complexity=4, Mode=word

Solve. Answer with proper units.

#	Problem	Correct Answer	Your Answer
1	The surface area of a rectangular solid is 52 m². The lengths of two of the sides are 4 m and 3 m. What is the length of the other side?	length =
Solution Surface Area = 2Lw + 2Lh + 2wh Pick h as the unknown (your choice doesn't matter) 52m² = (2 × 4m × 3m) + (2 × 4m × h) + (2 × 3m × h) 52m² = 24m² + (8 m)h + (6 m)h 28m² = (14 m)h 2m = h

#	Problem	Correct Answer	Your Answer
2	The volume of a rectangular solid is 6 yd³. The width is 1 yd and the height is 2 yd. What is the length?	L =
Solution V = Lwh 6yd³ = L × 1yd × 2yd 3yd² = L × 1yd 3yd = L

Complexity=6, Mode=word

Solve. Answer with proper units.

#	Problem	Correct Answer	Your Answer
1	The surface area of a rectangular solid is 62 m². The lengths of two of the sides are 2 m and 3 m. What is the length of the other side?	length =
Solution Surface Area = 2Lw + 2Lh + 2wh Pick h as the unknown (your choice doesn't matter) 62m² = (2 × 2m × 3m) + (2 × 2m × h) + (2 × 3m × h) 62m² = 12m² + (4 m)h + (6 m)h 50m² = (10 m)h 5m = h

#	Problem	Correct Answer	Your Answer
2	The volume of a rectangular solid is 60 in³. The width is 5 in and the height is 4 in. What is the length?	L =
Solution V = Lwh 60in³ = L × 5in × 4in 15in² = L × 5in 3in = L

Complexity=8, Mode=word

Solve. Answer with proper units.

#	Problem	Correct Answer	Your Answer
1	The surface area of a rectangular solid is 122 m². The lengths of two of the sides are 7 m and 3 m. What is the length of the other side?	length =
Solution Surface Area = 2Lw + 2Lh + 2wh Pick h as the unknown (your choice doesn't matter) 122m² = (2 × 7m × 3m) + (2 × 7m × h) + (2 × 3m × h) 122m² = 42m² + (14 m)h + (6 m)h 80m² = (20 m)h 4m = h

#	Problem	Correct Answer	Your Answer
2	The volume of a rectangular solid is 80 ft³. The length is 8 ft and the height is 2 ft. What is the width?	w =
Solution V = Lwh 80ft³ = 8 × w × 2ft 40ft² = 8ft × w 5ft = w

Complexity=10, Mode=word

Solve. Answer with proper units.

#	Problem	Correct Answer	Your Answer
1	The surface area of a rectangular solid is 112 ft². The lengths of two of the sides are 8 ft and 2 ft. What is the length of the other side?	length =
Solution Surface Area = 2Lw + 2Lh + 2wh Pick h as the unknown (your choice doesn't matter) 112ft² = (2 × 8ft × 2ft) + (2 × 8ft × h) + (2 × 2ft × h) 112ft² = 32ft² + (16 ft)h + (4 ft)h 80ft² = (20 ft)h 4ft = h

#	Problem	Correct Answer	Your Answer
2	The volume of a rectangular solid is 240 yd³. The length is 6 yd and the height is 8 yd. What is the width?	w =
Solution V = Lwh 240yd³ = 6 × w × 8yd 30yd² = 6yd × w 5yd = w

Complexity=12, Mode=word

Solve. Answer with proper units.

#	Problem	Correct Answer	Your Answer
1	The surface area of a rectangular solid is 344 cm². The lengths of two of the sides are 10 cm and 6 cm. What is the length of the other side?	length =
Solution Surface Area = 2Lw + 2Lh + 2wh Pick h as the unknown (your choice doesn't matter) 344cm² = (2 × 10cm × 6cm) + (2 × 10cm × h) + (2 × 6cm × h) 344cm² = 120cm² + (20 cm)h + (12 cm)h 224cm² = (32 cm)h 7cm = h

#	Problem	Correct Answer	Your Answer
2	The volume of a rectangular solid is 72 in³. The width is 2 in and the height is 3 in. What is the length?	L =
Solution V = Lwh 72in³ = L × 2in × 3in 24in² = L × 2in 12in = L

Learn more about our online math practice software.

"MathScore works."
- John Cradler, Educational Technology Expert

© Copyright 2010 Accurate Learning Systems Corp. All rights reserved.