Volume of a Orthohedron: Calculate The Missing Side based on the formula

Look at the following orthohedron:

The volume of the orthohedron is $80~cm^3$.

The length of the lateral edge is 4 meters.

What is the area of the base of the orthohedron?
(shaded orange in the diagram)

The formula for the volume of a box is height*length*width

In the specific question, we are given the volume and the height,

and we are looking for the area of the base,

As you will remember, the area is length * width

If we replace all the data in the formula, we see that:

4 * the area of the base = 80

Therefore, if we divide by 4 we see that

Area of the base = 20

20 cm²

Given the cuboid of the figure:

Given: volume of the cuboid is 45

What is the value of X?

Volume formula for a rectangular prism:

Volume = length X width X height

Therefore, first we will place the data we are given into the formula:

45 = 2.5*4*X

We divide both sides of the equation by 2.5:

18=4*X

And now we divide both sides of the equation by 4:

4.5 = X

4.5

The volume of the cuboid is 924.

What is the value of X?

11

The area of the base of the rectangular prism below is 15 m².

The length of the lateral edge is equal to 3 m².

What is the volume of the rectangular prism?

45

Given the length of the cuboid is 5 cm

Width is equal to 3 cm

Volume of the cuboid is equal to 30 cm3

Calculate the height of the cuboid

2 cm

The length of the cuboid is equal to 7 cm

The height of the cuboid is equal to 4 cm

Volume of the cuboid is equal to 84 cm3

Calculate the width of the cuboid

3 cm

The length of the cuboid is equal to 8 cm. and its width 4 cm.

Volume of the cuboid is equal to 96 cm.3

Calculate the height of the cuboid

3 cm

Look at the cuboid in the figure:

The volume of the cuboid is equal to 90.

What is the value of X?

6

A rectangular prism has a volume of 880 cm³:

Its height is 10 cm and its length is 8 cm.

What is its width?

11

The volume of a cuboid is 70 cm³.

Work out the length of the side EG.

$2$

A rectangular prism has a length of 2.5 cm and a width of 4 cm.

The volume of the rectangular prism is equal to 45 cm3.

Calculate X.

4.5

A rectangular prism has a length of 3 cm and a height of 5 cm.

Its volume is equal to 90 cm3.

Calculate X.

6

The volume of the rectangular prism below is 80 m³.

The length of the lateral edge is 4 m.

What is the area of the base?

20

The volume of the cube is equal to 1331.

Ho long is the side of the cube?

11

Given the following cuboid such that its base is a square. The length of the side of the base is equal to 10

The volume of the cuboid is equal to 90 cm³.

Find the length of the height

$0.9$

Given the following cuboid such that its base is a square.

The height of the cuboid is equal to 10 The volume of the cuboid is equal to 640 cm³.

Find the length of the side of the base

$8$

It is known that the volume of the cuboid is 90, the height of the cuboid is 5 and its length is equal to 3

Based on the data, find X

$6$

90 ml of water is poured into a rectangular prism container with a capacity of 120 cc.

What is the height of the water line?

3.75

A rectangular prism with a volume of 36 cm³ has a square base.

Calculate the lengths of the sides of the base given that its height is 9.

2