Question

lesson 8: surface area and volume
rectangular prism surface area and volume formulas
what is the volume of a rectangular prism with length of 13 cm, height of 9 cm, and width of 10 cm?
a. 102 cubic centimeters
b. 1170 cubic centimeters
c. 540 cubic centimeters
d. 702 cubic centimeters

Explanation:

Step1: Recall volume formula for rectangular prism

The volume \( V \) of a rectangular prism is given by the formula \( V = l \times w \times h \), where \( l \) is the length, \( w \) is the width, and \( h \) is the height.

Step2: Substitute the given values

Given \( l = 13 \) cm, \( w = 10 \) cm, and \( h = 9 \) cm. Substitute these values into the formula:
\( V = 13 \times 10 \times 9 \)

Step3: Calculate the product

First, multiply \( 13 \times 10 = 130 \). Then, multiply \( 130 \times 9 = 1170 \).

Answer:

b. 1170 cubic centimeters