Question

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?

Solid Geometry
ANSWERED
asked 2021-05-17
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?

Answers (1)

2021-05-18

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 \(\times\)(1 cubic foot/1728 cubic inches)\(=\frac{5}{12}\) cubic foot
We find the weight of the gel by multiplying the density by the volume:
(54 pounds/cubic foot)\(\times\frac{5}{12}\) cubic foot=22.5 pounds

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