Australia
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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