Question

Which two solid figures have the same volume? A. An oblique solid with a base of 4 cm2 and a height of 8 cm B. A cone with a base of 4 cm2 and a height of 8 cm C. An oblique solid with a base of 4 cm2 and a slant height of 8 cm D. A rectangular solid with a base of 4 cm2 and a height of 8 cm

Answer 1

In general, Volume is equal to the area of the base multiplied by the height.

Let's check the volume of each.

A.

V=area of base x height, all given, so,

$V=4*8=32$

B.

Volume of cone is given by,

V= one-third area of base x height, all given, so,

$V=\frac{1}{3}*4*8= \frac{32}{3}$

C.

Here, the slant height is given, not the altitude (height). The volume is not 32 nor $\frac{32}{3}$.

D.

Rectangular solid's volume is area of base times height, all given, so,

$V=4*8=32$

Hence, A and D have same volume.

ANSWER: Option A and Option D have the same volume (32)