PAM HAS A BOX IN THE SHAPE OF A RECTANGULAR PRISM. THE HIGHT IS 14 1/2 INCHES, THE WIDTH IS 6 1/2 INCHES AND THE LENGTH IS 10 1/2 WHAT IS THE VOLUME OF THE BOX?
volume
= 14.5(6.5)(10.5) = 989.625 inches^3
To find the volume of a rectangular prism, you multiply the length, width, and height.
Given:
Height = 14 1/2 inches
Width = 6 1/2 inches
Length = 10 1/2 inches
Step 1: Convert mixed numbers to improper fractions.
14 1/2 inches = 29/2 inches
6 1/2 inches = 13/2 inches
10 1/2 inches = 21/2 inches
Step 2: Multiply the three dimensions to find the volume.
Volume = Length × Width × Height
Volume = (21/2 inches) × (13/2 inches) × (29/2 inches)
Step 3: Multiply the numerators together and multiply the denominators together.
Volume = 21 × 13 × 29 / (2 × 2 × 2)
Volume = 8691 / 8
The volume of the box is approximately 1086.375 cubic inches.