A "Caution Wet Floor” warning sign is in the shape of a rectangular pyramid. It is 31 in. tall and has a base whose dimensions are 12 in. by 20 in. What is the volume of the sign?(1 point)
The volume of a rectangular pyramid can be calculated using the formula: V = (1/3) * base area * height
First, calculate the base area:
base area = length * width
base area = 12 in * 20 in
base area = 240 square inches
Now, plug in the base area and height into the formula:
V = (1/3) * 240 in^2 * 31 in
V = (1/3) * 7440 in^3
V = 2480 in^3
Therefore, the volume of the "Caution Wet Floor” warning sign is 2480 cubic inches.
An illustration shows a rectangular pyramid with a length of 14 inches, a width of 6 inches, and a perpendicular height of 12 inches. The face with the length of 6 inches has a slant height of 13.89 inches. The right and front faces are visible. Edges and faces that are not visible are indicated by dashed lines.
How many cubic inches does this rectangular pyramid contain? Round answer to the nearest whole number.
(1 point)
Responses
1,008 in.3
1,008 in. cubed
336 in.3
336 in. cubed
389 in.3
389 in. cubed
1,167 in.3
1,167 in. cubed
To find the volume of the rectangular pyramid, we can use the formula V = (1/3) * base area * height.
First, calculate the base area:
A = length * width
A = 14 in * 6 in
A = 84 square inches
Now, plug in the base area (84 in^2) and height (12 in) into the formula:
V = (1/3) * 84 in^2 * 12 in
V = 336 in^3
Therefore, the volume of the rectangular pyramid is 336 cubic inches. The answer is closest to 336 in.3.