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10&10a

9.07 Further composite solids

Interactive practice questions

A frustum is constructed by removing the top $18$18 cm from a $54$54 cm tall pyramid with a square base of side length $27$27 cm.

a

What is the volume of the original pyramid?

b

What is the side length of the square on top of the new shape?

c

What is the volume of the removed part of the pyramid?

d

What is the volume of the frustum?

Easy
7min

A small square pyramid of height $4$4 cm was removed from the top of a large square pyramid of height $8$8 cm forming the solid shown. Find the exact volume of the solid.

Easy
2min

A pyramid has been removed from a rectangular prism, as shown in the figure. Find the volume of this composite solid.

Medium
1min

A small square pyramid of height $6$6 cm was removed from the top of a large square pyramid of height $12$12 cm to form the solid shown.

Medium
8min
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Outcomes

ACMMG271 (10a)

Solve problems involving surface area and volume of right pyramids, right cones, spheres and related composite solids

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