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Keith_Richards [23]
3 years ago
15

A right rectangular prism has a length of 7 centimeters, a width of 5 centimeters, and a height of 4 centimeters. The dimensions

are doubled.
What is the volume of the prism?
Mathematics
2 answers:
seraphim [82]3 years ago
7 0

Answer:

140 cm cubed

Step-by-step explanation:

7x5x4

Shtirlitz [24]3 years ago
5 0

First, lets double all the dimensions.

7 * 2 = 14

5 * 2 = 10

4 * 2 = 8

Second, find the volume (V = l * w * h)

V = 7 * 5 * 4

V = 35 * 4

V = 140cm²

Best of Luck!

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Find all the missing dimensions when a=9, b=13, c=64°
DerKrebs [107]

Answer:

Part 1) c=12.14\ units

Part 2) m\angle A=41.78^o

Part 3) m\angle B=74.22^o

Step-by-step explanation:

step 1

Find the measure of side c

Applying the law of cosines

c^2=a^2+b^2-2(a)(b)cos(C)

we have

a=9\ units\\b=13\ units\\C=64^o

substitute

c^2=9^2+13^2-2(9)(13)cos(64^o)

c^2=81+169-234cos(64^o)

c^2=250-234cos(64^o)

c^2=147.4212

c=12.14\ units

step 2

Find the measure of angle A

Applying the law of sines

\frac{a}{sin(A)}=\frac{c}{sin(C)}

substitute the given values

\frac{9}{sin(A)}=\frac{12.14}{sin(64^o)}

solve for sin(A)

sin(A)=\frac{sin(64^o)}{12.14}(9)

sin(A)=0.6663

m\angle A=sin^{-1}(0.6663)=41.78^o

step 3

Find the measure of angle B

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

m\angle A+m\angle B+m\angle C=180^o

substitute the given values

41.78^o+m\angle B+64^o=180^o

m\angle B+105.78^o=180^o

m\angle B=180^o-105.78^o

m\angle B=74.22^o    

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