Answer: The length of each side of the building block is 0.56 feet
Step-by-step explanation:
A company is making building blocks. Each building block is a cube and has volume 125/729 ft cubed . Each of the building blocks has 6 faces which are squares, 8 vertices and 12 edges.
Since a square has all sides to be equal sides,
The volume of the cube = the volume of the building block =
Product of length,L, width, W and height, H.
Volume of the building block = L × W × H
Since length = width = height,
Volume of cube = L^3
From the information given,
Volume of a building block = 125/729ft cubed
L^3 = 125 / 729
Taking cube root of both sides of the equation,
L = cube root of 125/729
L = 5/9
= 0.56 feet
The Lateral area of the cube = 900 in.²
The Surface area of the cube = 1,350 in.².
<h3>What is the Lateral Area of a Cube?</h3>
A cube's lateral area is the area covered by the lateral surfaces of the cube shape. The formula for the lateral area of a cube is given as: LA = 4a², where:
a = edge length of cube.
<h3>What is the Surface Area of a Cube?</h3>
The surface area of a cube is the total area of all its 6 surfaces. The formula for finding the surface area of a cube is: 6a², where:
a = edge length of cube.
Edge length of cube (a) = 15 in.
Lateral area = 4a² = 4(15²)
Lateral area = 4(225)
Lateral area of the cube = 900 in.²
Surface area = 6a² = 6(15²)
Surface area = 6(225)
Surface area of the cube = 1,350 in.².
Learn more about the surface area and lateral of a cube on:
brainly.com/question/15726306
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I would say the answer is A. It takes Diante 1.25 hours to make one necktie. As this is the only answer that really makes sense.
I hope this is correct and helps.