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Back to Exercise: Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects

Area, Volume, and Surface Area of 2D and 3D Figures

For each problem, show your work and include appropriate units in your answer.

Grade 7·21 problems·~30 min·Common Core Math - Grade 7·standard·7-g-b-6
Work through problems with immediate feedback
A

Recall / Warm-Up

1.

A trapezoid has parallel sides of 5 cm and 9 cm, and a height of 4 cm. What is its area?

2.

A rectangular prism has a length of 8 m, width of 5 m, and height of 3 m. What is its volume in cubic meters?

3.

A circle has a radius of 7 cm. Using π ≈ 3.14, what is its area?

B

Fluency Practice

An L-shaped figure with outer dimensions 10 cm wide and 6 cm tall, with a 3 cm × 4 cm rectangle cut from the top-right corner. All key dimensions are labeled.
1.

An L-shaped figure is formed by starting with a 10 cm × 6 cm rectangle and removing a 3 cm × 4 cm rectangle from the top-right corner. What is the area of the L-shaped figure in square centimeters?

A triangular prism with the triangular base showing base = 6 cm and height = 4 cm, and the prism length labeled 9 cm. Both heights are clearly distinguished.
2.

A triangular prism has a triangular base with a base of 6 cm and a height of 4 cm. The prism is 9 cm long. What is the volume of the prism in cubic centimeters?

3.

A rectangular prism has dimensions 8 cm × 5 cm × 3 cm. What is its total surface area in square centimeters?

A square pyramid with base side 6 cm. The slant height (5 cm) is labeled along one lateral face from the midpoint of the base edge to the apex.
4.

A square pyramid has a base of 6 cm × 6 cm and a slant height of 5 cm. What is the total surface area in square centimeters?

5.

A trapezoidal prism has a trapezoidal base with parallel sides of 5 m and 9 m, and a base height of 4 m. The prism is 7 m long. What is the volume in cubic meters?

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