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Mathematics

1 answer:

Travka [436]3 years ago

4 0

Answer:

yes

Step-by-step explanation:

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What is the volume

MrMuchimi

Answer:

The volume is 227.5

Step-by-step explanation:

The volume for a triangular prism, such as this is, (lxwxh)/2. Because in all shapes volume equals the area multiplied by the height or depth. And an area of a triangle is l or base multiplied by the altitude or w, divided by 2. So the area would be 5x7/2, 35/2, 17.5. And the volume would be 17.5x13, 227.5

8 0

3 years ago

A retangular prism has a length of 20 in. a width of 2 in., and a height of 3 1/4 in. The prism is filled with cubes that have e

ira [324]

Answer: 8320 cubes.

Step-by-step explanation:

1. Calculate the volume of the rectangular prism:

$V_1=l*w*h$

Where l is the lenght, w is the width and h is the height.

Substitute values.

(You can convert 3 1/4 to decimal by dividing the numerator by the denominator of the fraction and add this to the whole part: 3+0.25=3.25)

Then:

$V_1=20in*2in*3.25in=130in^{3}$

2. Calculate the volume of a cube:

$V_2=s^{3}$

Where s is the lenght of any side.

Then:

$V_2=(\frac{1}{4}in)^{3}=\frac{1}{64}in^{3}=0.0156in^{3}$

3. To calculate the number of cubes that are needed to fill the rectangular prism (which you can call n) , you must divide the volume of the prism by the volume of a cube. Then:

$n=\frac{V_1}{V_2}=\frac{130in^{3}}{0.0156in^{3}}=8320$ cubes