Question

# An FBI agent orders a block of ballistics gel. The

Solid Geometry
An FBI agent orders a block of ballistics gel. The gel weighs 54 pounds per cubic foot. What is the weight of the block of gel?

2021-08-17

First, we find the volume of the gel which is a rectangular prism in shape: V=lwh
V=(20)(6)(6)
V=720 cubic inches
Then, we convert this cubic foot. Since $$1 ft = 12 in$$., then $$(1 ft)^3 = (12 in.)^3\ or\ 1 ft^3 = 1728 in.^3$$ so:
V=720 cubic inches×(1 cubic foot/1728 cubic inches)=5/12 cubic foot
We find the weight of the gel by multiplying the density by the volume:
(54 pounds/cubic foot)×5/12 cubic foot=22.5 pounds