The volume of the rectangular prism is 280 cubic cm. Its base has the area of 40 sq. cm. What is the volume of the pyramid inside the prism???
To find the volume of the pyramid inside the rectangular prism, we first need to determine the dimensions of the pyramid.
Given that the base of the rectangular prism has an area of 40 square cm, let's assume its dimensions are length (L), width (W), and height (H). So, in the prism, we have L x W = 40.
Next, since we know the volume of the prism is 280 cubic cm, we have the formula for volume: V = L x W x H. Substituting the value of the area, we get:
280 = 40 x H
Now, we can solve for H, which represents the height of the prism. Dividing both sides by 40:
H = 280 / 40
H = 7
Now that we know the height of the prism is 7 cm, we can calculate the volume of the pyramid within it.
The volume of a pyramid is found using the formula: V = 1/3 * base area * height. In this case, the base area is 40 square cm (same as the base of the prism) and the height is 7 cm (same as the height of the prism).
V = 1/3 * 40 * 7
V = 280/3
V ≈ 93.33 cubic cm
Therefore, the volume of the pyramid inside the rectangular prism is approximately 93.33 cubic cm.