Question

The volume of this triangular prism is 150 cubic meters. What is the value of d?
height 10
length 6
with

Answer 1

To find the value of d, we first need to calculate the area of the triangle at the base of the prism. The formula for the area of a triangle is:

Area = 1/2 * base * height

Given that the length is 6 and the height is 10, the area of the base triangle is:

Area = 1/2 * 6 * 10
Area = 30 square meters

Now, we can find the value of d using the formula for the volume of a prism:

Volume = base area * height * d

Given that the volume is 150 cubic meters, the base area is 30 square meters, and the height is 10, we can plug in the values:

150 = 30 * 10 * d
150 = 300d

Now, we can solve for d:

d = 150 / 300
d = 0.5

Therefore, the value of d is 0.5.