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3 years ago

What's the volume of this rectangular prism?

Mathematics

2 answers:

Mademuasel [1]3 years ago

6 0

Answer: 40 cubic centimeters.

Step-by-step explanation:

We know that the volume of a rectangular prism = Length x width x height

In the given picture , the dimension of the rectangular prism is 4 cm by 5 cm by 2 cm.

i.e. Length =4 cm , width = 5 cm , and height = 2 cm.

Now , by using the formula , we have

Volume of rectangular prism = $4\times5\times2\ cm^3$

$= 40\ cm^3$

Hence, the volume of this rectangular prism is 40 cubic centimeters.

Snowcat [4.5K]3 years ago

5 0

1. Find the length, width, and height of the rectangular prism.
2. Multiply the length, width, and height.
3. Write the answer in cubic units. For example: 60 inches3.

The length is the longest side of the flat surface of the rectangle on the top or bottom of the rectangular prism.

Ex: Length = 5 in.

The width is the shorter side of the flat surface of the rectangle on the top or bottom of the rectangular prism. Ex: Width = 4 in.The height is the part of the rectangular prism that rises up. Imagine that the height is what stretches up a flat rectangle until it becomes a three-dimensional shape. Ex: Height = 3 in.You can multiply them in any order to get the same different result. The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height * Width, or V = L * H * W. Ex: V = 5 in. * 4 in. * 3 in. = 60 in.Since you're calculating volume, you're working in a three-dimensional space. Just take your answer and state it in cubic units. Whether you're working in feet, inches, or centimeters, you should state your answer in cubic units. 60 will become 60 in3.

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I'll do problem 1 to get you started.

The answer to problem 1 is 3400 miles

============================================================

Explanation for problem 1:

We're asked to find the perimeter, which is the total distance around the exterior or outside. In other words, we need to add up the four side lengths of this quadrilateral.

We'll need the distance formula to find the lengths of the slanted sides AB and BC

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$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(0-400)^2 + (0-300)^2}\\\\d = \sqrt{(-400)^2 + (-300)^2}\\\\d = \sqrt{160000 + 90000}\\\\d = \sqrt{250000}\\\\d = 500\\\\$

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Now find the length of segment BC

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The length of CD is fairly easy to find without needing the distance formula. This is because it is a vertical line. We subtract the y coordinates of C and D to get 800-0 = 800. So CD is 800 miles long.

Segment DA is a similar story. But we subtract the x coordinates. This only works for horizontal lines. DA is 800 miles long because |-800-0| = 800. Absolute value is used to make sure the distance is never negative.

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