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marysya [2.9K]
3 years ago
5

the volume of a rectangular pyramid is 125 cm cubic inchs. what is the volume of a rectangular prism having a congruent base and

the same height?
Mathematics
1 answer:
Mnenie [13.5K]3 years ago
5 0
I am confused with regards to the unit. You wrote cm cubic inches. So, I'll just use cubic unit.

Given:
Volume of rectangular pyramid is 125 cubic unit

Volume of rectangular pyramid = (length * width * height) ÷ 3

Volume of rectangular prism = length * width * height

The main difference between the two volumes is the present of 3.

Volume of rectangular prism = Volume of rectangular pyramid * 3

V = 125 cubic unit * 3 = 375 cubic unit
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I am Lyosha [343]

Answer:

m∠QPR = 20°

Step-by-step explanation:

If we make a sketch of the triangle, it will be observed, that line R bisects angle P.

Considering Triangle, ΔQPS;

∠QPS=107∘

Considering triangle, QPR;

∠QPR=9x-115∘

Considering triangle, RPS;

∠RPS=4x+27∘

Thus, ∠RPS + ∠QPR = ∠QPS

4x+27° + 9x-115° = 107°

13x - 88° = 107∘

13 x = 107∘ + 88∘

13x = 195°

x = 195°/13

x = 15°

m∠QPR = 9x - 115°

= (9 x 15) - 115°

= 135° - 115°

= 20°

Therefore, m∠QPR = 20°

6 0
3 years ago
Match the ones that are highlighted please:(
vivado [14]

The answers are 2. B, 3. D, 4. C, and 5. A.

Step-by-step explanation:

Step 1:

For question 2. 4+4n = -12.

We subtract both sides by 4 to get

4+4n-4 = -12-4, 4n = -16, n = -4

For question 3. 4n=-12.

We divide the entire equation by 4 to get

\frac{4n}{4} = \frac{-12}{4} , n = -3.

Step 2:

For question 4. \frac{n}{4} = -12.

We multiply both sides by 4 to get

\frac{n}{4} (4)= -12(4).

n = -48.

For question 5. \frac{n}{4} -4 = -12.

We add 4 to both sides to get

\frac{n}{4} -4 +4= -12+4, \frac{n}{4} = -8.

n = -32.

So the answers are 2. B, 3. D, 4. C, and 5. A.

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2 years ago
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3 years ago
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The property of this equation is associative property
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1 year ago
17 Q Graph the inequality n a coordinate plane
aliina [53]
The resultant graph is shown in the attached image.

Explanation:
Before we begin, remember that when we multiply by a negative sign, we flip the sign of the inequality
The given inequality is:
-y ≤ 3x - 5
We will multiply both sides by -1 to get a positive y vale. This will give us:
y ≥ -3x + 5

Now, to graph the inequality, we will first draw the line y = -3x + 5 and then shade the region having y values greater than the line. 
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The final solution would be as shown in that attachment.

Hope this helps :)

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