Question

23. If the cube and rectangular box have the same volume, which equation can you use to find the height (h) of the box? (1) 63 = 6 x 12 xh (2) 62 = 6 x 12 xh (3) 63 = 6 + 12 + h (4) 6 = (6 x 12)h (5) h = 6 x 6 x 12

Answer 1

We are given two figure, i) Cube, ii) rectangular box

The volume of any shape is calculated by multiplying height, width, length.

Volume = height x length x width

In the case of a cube, all the dimensions are the same. So volume would be = length x length x length

here, length = 6

So,

V(cube) = 6^3

For a rectangular box:

V(rect) = height x length x width

V(rect) = h x 12 x 6

As given, V(cube) = V(rect). Therefore,

6^3 = h x 12 x 6

Hence, the first option is correct.