Question

There are 38 Cube Houses. Each house could hold 1,000 unit cubes that are 1 meter by 1 meter by 1 meter. Describe the dimensions of a cube house using unit cubes. Remember that the edges of a cube are all the same length. PLEASE HELP!

Answer 1

The problem is giving us the total volume of each house (1000 unit cubes), and is asking us for the dimensions of the cube house.

We can solve this using the volume equation for the cube:

$Volume_{cube} =Side_{cube} ^{3}$

we solve for side (edge) which is what we look for

$Side_{cube}=\sqrt[3]{Volume_{cube} }$

$Side_{cube}=\sqrt[3]{1000 unit cubes }\\Side_{cube}=10 unit cubes$

like it is said in the problem the cube has the same dimensions for all three edges so the house would be 10 unit cubes high, 10 unit cubes deep and 10 unit cubes long

Answer 2

The dimension for all three edges so the house would be 10 unit cubes high, 10 unit cubes deep and 10 unit cubes long

What is cube?

A cube is a three-dimensional object having equal height length and the width.

The problem is giving us the total volume of each house (1000 unit cubes), and is asking us for the dimensions of the cube house.

We can solve this using the volume equation for the cube:

$V_{cube}=Side^3$

we solve for side (edge) which is what we look for

$Side=\sqrt{V_{cube}}$

$Side =\sqrt{1000}$

$Side=10\ cm$

like it is said in the problem the cube has the same dimensions for all three edges so the house would be 10 unit cubes high, 10 unit cubes deep and 10 unit cubes long

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