Square-based pyramids: volume and surface area

Grade 8 Math Worksheet - Building Confidence

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Circle the best answer, or write your answer on the line.

Pia makes a model pyramid for history class. A square prism with the same base and height holds 300 cubic cm. What is the pyramid's volume, in cubic cm?
Ren makes a square pyramid roof for a model castle tower. A square prism with the same base and height holds 225 cubic inches. What is the pyramid's volume, in cubic inches?
Use the picture in question 1.
Tala makes a paper pyramid. A square prism with the same base and height holds 588 cubic cm. What is the pyramid's volume, in cubic cm?
Use the picture in question 1.
Zee makes a glass pyramid paperweight. A square prism with the same base and height holds 432 cubic cm. What is the pyramid's volume, in cubic cm?
Use the picture in question 1.
Ari unfolds a paper pyramid: a square base of 64 square cm and four triangles of 48 square cm each. What is its surface area, in square cm?
Jun unfolds a pyramid gift box made of card: a square base of 144 square cm and four triangles of 102 square cm each. What is its surface area, in square cm?
Kira measures a pyramid sculpture in the park. Its height, 2.1 meters, and half its base, 2 meters, are the legs of a right triangle inside. How long is the slant height, in meters?
Luz measures a tall castle tower roof. Its height, 30 cm, and half its base, 12.5 cm, are the legs of a right triangle inside. How long is the slant height, in cm?
Milo measures a pyramid model for the school hall. Its height, 3 feet, and half its base, 1.25 feet, are the legs of a right triangle inside. How long is the slant height, in feet?
Noah measures a tall paper pyramid. Its height, 17.5 cm, and half its base, 6 cm, are the legs of a right triangle inside. How long is the slant height, in cm?

Square-based pyramids: volume and surface area

Answer Key - Grade 8 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

Pia makes a model pyramid for history class. A square prism with the same base and height holds 300 cubic cm. What is the pyramid's volume, in cubic cm?
100
Ren makes a square pyramid roof for a model castle tower. A square prism with the same base and height holds 225 cubic inches. What is the pyramid's volume, in cubic inches?
Use the picture in question 1.
75
Tala makes a paper pyramid. A square prism with the same base and height holds 588 cubic cm. What is the pyramid's volume, in cubic cm?
Use the picture in question 1.
196
Zee makes a glass pyramid paperweight. A square prism with the same base and height holds 432 cubic cm. What is the pyramid's volume, in cubic cm?
Use the picture in question 1.
144
Ari unfolds a paper pyramid: a square base of 64 square cm and four triangles of 48 square cm each. What is its surface area, in square cm?
256
Jun unfolds a pyramid gift box made of card: a square base of 144 square cm and four triangles of 102 square cm each. What is its surface area, in square cm?
552
Kira measures a pyramid sculpture in the park. Its height, 2.1 meters, and half its base, 2 meters, are the legs of a right triangle inside. How long is the slant height, in meters?
2.9
Luz measures a tall castle tower roof. Its height, 30 cm, and half its base, 12.5 cm, are the legs of a right triangle inside. How long is the slant height, in cm?
32.5
Milo measures a pyramid model for the school hall. Its height, 3 feet, and half its base, 1.25 feet, are the legs of a right triangle inside. How long is the slant height, in feet?
3.25
Noah measures a tall paper pyramid. Its height, 17.5 cm, and half its base, 6 cm, are the legs of a right triangle inside. How long is the slant height, in cm?
18.5