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A rectangular Prism has a base that is 4 m by 6 m and a height of 10 m. if all dimensions are doubled, what happens to the volume? explain the steps that you take to arrive at your answer

Respuesta :

The volume will increase to 1920.

1. Multiply all dimensions by two

2. Multiply all of the doubled dimensions together

3. Answer 1920

A rectangular Prism has a base that is 4 m by 6 m and a height of 10 m.

When we will double the dimension the volume will be increased by 8 times.

How to find the volume of a right rectangular prism?

Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:

[tex]V = a\times b \times c \: \: unit^3[/tex]

A rectangular Prism has a base that is 4 m by 6 m and a height of 10 m.

The Volume of rectangular prism = l×b×h

[tex]4\times 6 \times 10\\\\240[/tex]

if all dimensions are doubled, the volume will be increased by 8 times, and the volume will be

The Volume of rectangular prism = l×b×h

[tex]2L \times 2B\times 2H\\\\= 2\times2\times2 (L\times B\times H)\\\\= 8 \times 240\\\\= 1920[/tex]

When we will double the dimension the volume will be increased by 8 times.

For more details about rectangular prism, refer to the link given below:

brainly.com/question/8890154

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