A rectangular solid has a base with length 2 cm and width 6cm. If the volume of the solid is 108 cm^3. Find the height of the solid.
Possible answers are:
A) 8cm
B)9cm
C) 10cm
D) 11cm
My answer:
V = LWH
108 = (2)(6)H
108= 12H
--- ---
12 12
9 = H
right
10cm * 12cm* 17cm =2.040
Yes, that's correct! To find the height of the rectangular solid, you can use the formula for volume, which is V = LWH, where L is the length, W is the width, and H is the height.
Given that the length is 2 cm and the width is 6 cm, the equation becomes 108 = (2)(6)H.
Simplifying the equation, we have 108 = 12H. To solve for H, we divide both sides of the equation by 12, which gives us 9 = H.
Therefore, the height of the solid is 9 cm. So, the correct answer is B) 9 cm.