The width of a rectangular prism is 30cm. This is 12 more than one-fourth of the length. Find the volume of the prism, given the height is 20cm.
Evaluate: 1
5
9 ×
1
8
Give your answer in its simplest form.
W = 30 cm.
L/4 + 12 = 30.
L/4 = 18
L = 72 cm.
h = 20 cm.
V = L*W*h.
V=50
Ion Have One Yo.
30*12/0.25
To find the volume of a rectangular prism, we need to multiply its length, width, and height.
Let's first find the length of the prism.
We are given that the width of the prism is 30 cm, and it is also stated that this is 12 more than one-fourth of the length.
Let's represent the length of the prism as "L". We can translate the given information into an equation:
30 cm = (1/4)L + 12
To find L, we can start by isolating it on one side of the equation:
(1/4)L = 30 cm - 12
Simplifying the right side:
(1/4)L = 18 cm
To solve for L, we can multiply both sides of the equation by 4:
L = 18 cm * 4
Simplifying:
L = 72 cm
Now that we have the length (L = 72 cm), the width (W = 30 cm), and the height (H = 20 cm), we can calculate the volume.
Volume of a rectangular prism = Length * Width * Height
V = L * W * H
V = 72 cm * 30 cm * 20 cm
Calculating the product:
V = 43,200 cubic cm
Therefore, the volume of the rectangular prism is 43,200 cubic cm.