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3 years ago

The value of the solid’s surface area is equal to the value of the solid’s

Mathematics

1 answer:

Katen [24]3 years ago

8 0

Answer:

1. x = 15 in

2. x = 8 m

Step-by-step explanation:

1. Given:

length = 10 in

width = 3 in

height = x in

surface area of the rectangular prism = its volume

Required:

Value of x

Area = 2(wl + hl + hw)

Volume = l*w*h

Therefore:

2(3*10 + x*10 + x*3) = 10*3*x

2(30 + 10x + 3x) = 30x

2(30 + 13x) = 30x

60 + 26x = 30x

Subtract 26x from both sides

60 + 26x - 26x = 30x - 26x

60 = 4x

Divide both sides by 4

60/4 = 4x/4

15 = x

x = 15 in

2. Given:

length = 8 m

width = 4 m

height = x m

surface area of the rectangular prism = its volume

Required:

Value of x

Area = 2(wl + hl + hw)

Volume = l*w*h

Therefore:

2(4*8 + x*8 + x*4) = 8*4*x

2(32 + 8x + 4x) = 32x

2(32 + 12x) = 32x

64 + 24x = 32x

Subtract 24x from both sides

64 + 24x - 24x = 32x - 24x

64 = 8x

Divide both sides by 8

64/8 = 8x/8

8 = x

x = 8 m

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Answer:

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Step-by-step explanation:

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Read 2 more answers

There are 32 volunteers to donate blood. Unfortunately, n of the volunteers did not meet the heath requirements, so they couldn'

Daniel [21]

Answer:

The volunteers donated $470(32-n)$ millimeters of blood.

Step-by-step explanation:

Given:

Total Number of Volunteers = 32

number of Volunteers failed to donate = n

Amount of blood donated by each volunteer = 470 mm

We need to find the Total amount of blood donated by the Volunteers.

Solution:

First we will find the number of volunteers donated blood.

the number of volunteers donated blood is equal to Total Number of Volunteers minus number of Volunteers failed to donate.

framing in equation form we get;

the number of volunteers donated blood = $(32-n)$

Now we will find Total amount of blood donated by the Volunteers.

Total amount of blood donated by the Volunteers is equal to Amount of blood donated by each volunteer multiplied by the number of volunteers donated blood.

framing in equation form we get;

Total amount of blood donated by the Volunteers = $470(32-n)$

Hence The volunteers donated $470(32-n)$ millimeters of blood.

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3 years ago