The surface area of a rectangular prism is 2(lw + lh + wh). In this formula, everything within the parentheses is multiplied by two. 2lw measures the top and bottom, 2lh measures the left and right sides, and 2wh measures the front and back. Why do we multiply each surface by two? Because each face has a twin on the opposite side. So you only have to measure one of them.
Which option expresses the surface area of a rectangular prism with the following dimensions: length = 4, width = 3, height = 6 ?
A
(4 × 3 + 4 × 6 + 3 × 6)
B
2 (4 × 3 + 4 × 6 + 3 × 6)
C
2 ( 4 × 3 × 6)
D
2 ( 4 + 3 + 6)
B
2(4 × 3 + 4 × 6 + 3 × 6)
The formula for the volume of a rectangular prism is length x width x height.
A
True
B
False
A
True
To find the maximum amount of water it takes to fill a rectangular fish tank, you need to know the
A
volume of the fish tank.
B
surface area of the fish tank.
C
area of the bottom of the fish tank.
D
perimeter of the bottom of the fish tank.
A
volume of the fish tank.
The base of a prism is never a A circle. B square. C triangle. D rectangle.
A
circle.
The volume of a box is 400
�
�
.
3
in.
3
. The height is 5 in. What is the area of the base of the box?
A
80 in.
B
80
�
�
.
2
in.
2
C
8 in.
D
8
�
�
.
2
in.
2
A
80 in²
To find the area of the base, you need to divide the volume by the height.
Area = Volume / Height
Area = 400 in³ / 5 in
Area = 80 in²