Question

A rectangular prism has a length of 7 3/4 inches, a width of 3 1/2 inches, and a height of 6 inches. Mario has a storage container for the prism that has a volume of 165 cubic inches.
What is the difference in volume between the prism and the storage container?
Enter your answer in the box as a simplified mixed number or decimal

Answer 1

Answer:

2.25 cubic inches  (decimal)  or   $2 \frac{1}{4}$ cubic inches

Step-by-step explanation:

Rectangular Prism = Cuboid

l = 7 3/4 inches = 7.75 inches

b = 3 1/2 inches = 3.5 inches

h = 6 inches

Volume = lbh

=(7.75 x 3.5 x 6) cu. inches

162.75 cu.inches

Difference = 165 cu. inches - 162.75 cu. inches

= 2.25 cu. inches

= 225/100 cu. inches = 9/4 cu. inches = 2 1/4 cu. inches