What is the volume of the composite figure?

Mathematics

2 answers:

joja [24]3 years ago

7 0

Answer: 372in³

Step-by-step explanation:

All we have to do is find the volume of the two separate rectangular prisms and add them up.

First we will find the volume of the standing prism:

5in * 3in * 12in = 180in³

Now the other prism:

12in * 4in * 4in = 192in³

Now add them up:

180in³ + 192in³ = 372in³

irinina [24]3 years ago

5 0

Answer:

372 $inches^{3}$

Step-by-step explanation:

Imagine the figures are each separate. The top figure's dimensions would be L=12 in, W=4 in, and H=4 in. The bottom figure's dimensions would be L=5 in, W=3 in, and H=12 in. So, do the volume formula for each: L x W x H and then add them together.

12 x 4 x 4 = 192 inches^3

5 x 3 x 12 = 180 inches^3

192 + 180 = 372 inches^3

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timama [110]

Answer:

25π units^2

Step-by-step explanation:

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area of a quarter circle = (1/4)π(10 units)^2

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3 years ago

Regina ate 25 grapes and 15 cashews. Simplify the ratio of grapes to cashews that she ate.

Marysya12 [62]

Answer:

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Step-by-step explanation:

I know this because you would divide the amount of grapes and the amount of cashews by 3 which would equal 5 to 3

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2 years ago

Read 2 more answers

A gift shop sells 140 wind chimes per month at $90 each. The owners estimate that for each $5 increase in price, they will sell

guapka [62]

Answer: $95

Step-by-step explanation:

Te new price will be 90 + 5x, if the price increases "x" times

The number of wind chimes sold per month will become 140 - 7x

$\begin{aligned}&\text {Revenue, } \mathrm{R}(\mathrm{x})=(90+5 \mathrm{x})(140-7 \mathrm{x}) \\&R^{\prime}(x)=5(140-7 x)-7(90+5 x) \\&R^{\prime}(x)=700-35 x-630-35 x \\&R^{\prime}(x)=70-70 x=0 \\&70 x=70 \\&x=1\end{aligned}$