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These sample problems below for Rectangular Solids were generated by the MathScore.com engine.

Sample Problems For Rectangular Solids


Complexity=1

Find the surface area and volume. Answer with proper units. To represent m2, use "sq m". Sample answer: 5 sq m. To represent m3, use "cu m"
1.   surface area = volume =
2.   surface area = volume =

Complexity=2

Find the surface area and volume. Answer with proper units. To represent m2, use "sq m". Sample answer: 5 sq m. To represent m3, use "cu m"
1.   surface area = volume =
2.   surface area = volume =

Answers


Complexity=1

Find the surface area and volume. Answer with proper units. To represent m2, use "sq m". Sample answer: 5 sq m. To represent m3, use "cu m"
#ProblemCorrect AnswerYour Answer
1 surface area = volume =
Solution
The surface area is the area of the six sides. This is twice the area of the three different kinds of sides.
= 2 × ((1cm × 3cm) + (3cm × 2cm) + (2cm × 1cm)) = 22 cm2.
V=lwh (length × width × height)
= 2cm × 1cm × 3cm = 6 cm3.
#ProblemCorrect AnswerYour Answer
2 surface area = volume =
Solution
The surface area is the area of the six sides. This is twice the area of the three different kinds of sides.
= 2 × ((1in × 4in) + (4in × 4in) + (4in × 1in)) = 48 in2.
V=lwh (length × width × height)
= 4in × 1in × 4in = 16 in3.

Complexity=2

Find the surface area and volume. Answer with proper units. To represent m2, use "sq m". Sample answer: 5 sq m. To represent m3, use "cu m"
#ProblemCorrect AnswerYour Answer
1 surface area = volume =
Solution
The surface area is the area of the six sides. This is twice the area of the three different kinds of sides.
= 2 × ((2in × 2in) + (2in × 8in) + (8in × 2in)) = 72 in2.
V=lwh (length × width × height)
= 8in × 2in × 2in = 32 in3.
#ProblemCorrect AnswerYour Answer
2 surface area = volume =
Solution
The surface area is the area of the six sides. This is twice the area of the three different kinds of sides.
= 2 × ((8cm × 2cm) + (2cm × 8cm) + (8cm × 8cm)) = 192 cm2.
V=lwh (length × width × height)
= 8cm × 8cm × 2cm = 128 cm3.

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