Question

HELP PLZ? You want to help build an awards podium for a track meet. If the podium has the dimensions shown, what is its volume?

Answer 1

The volume of Podium is: 18 cubic feet.

Explanation:

The volume of Podium is equal to the volume of 3 cuboids of different heights.

We know that a volume of cuboid with length l, width b and height h is given by:

Volume= l×b×h

Hence,

Volume of cuboid numbered as 3 is:

Volume= 1×2×1.5= 3 cubic feet.

Volume of cuboid numbered as 2 is:

Volume=2×2×1.5=6 cubic feet.

Similarly volume of cuboid numbered as 1 is:

Volume= 3×1.5×2=9 cubic feet.

Hence, the Volume of Podium is:

3+6+9=18 cubic feet.

Answer 2

volume = l x w x h

area 1 = 3 x 1.5 x 2 = 9 cubic feet

area 2 = 2 x 1.5 x 2 = 6 cubic feet

area 3 = 1.5 x 1 x 2 = 3 cubic feet

9+6+3 = 18 cubic feet total