A bathtub is the shape of a rectangular prism. The dimensions are 5 1/2 ft times 2 1/2 ft times 2 3/4 ft. What is the volume of the bath tub? A. 10 1/2 ft3 B. 13 1/8 ft3 C. 14 7/16 ft3 D. 36 3/32 ft3

Respuesta :

Answer:

[tex]37 \frac{13}{16} ft^3[/tex]

Step-by-step explanation:

A rectangular prism is also know as a cuboid.

The dimensions of the rectangular prism shaped bath tub are 5½ ft * 2½ ft * 2¾ ft.

The volume of a cuboid (rectangular prism) is given as:

V = L * B * H

Hence, the volume of the bath tub is:

V = 5½  * 2½ * 2¾

V = 11/2 * 5/2 * 11/4

V = 605 / 16 = [tex]37 \frac{13}{16} ft^3[/tex]

The volume of the bath tub is [tex]37 \frac{13}{16} ft^3[/tex]