Question

find the volume.
3 yd
6 yd
7 yd
a. 126 cu yd
b. 252 cu yd
c. 147 cu yd
d. 54 cu yd

Explanation:

Step1: Recall volume formula for rectangular prism

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

Step2: Identify dimensions

From the figure, length \( l = 7 \) yd, width \( w = 3 \) yd, height \( h = 6 \) yd.

Step3: Calculate volume

Substitute values into the formula: \( V = 7 \times 3 \times 6 \). First, \( 7 \times 3 = 21 \), then \( 21 \times 6 = 126 \)? Wait, no, wait: \( 7\times3 = 21 \), \( 21\times6 = 126 \)? Wait, no, wait the options: wait, maybe I misread. Wait, 736: 73=21, 216=126? But option a is 126? Wait, no, the options: a. 126, b.252, c.147, d.54. Wait, 736: 73=21, 216=126. So that's option a? Wait, no, wait 736: 73=21, 216=126. So the volume is 126 cubic yards.

Answer:

a. 126 cu yd