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4 years ago

Find the surface area of the rectangular prism above using its net below

Mathematics

1 answer:

never [62]4 years ago

5 0

Answer:

82cm²

See explanation below

Step-by-step explanation:

The question is incomplete without the diagram of the rectangular prism and it's dimensions. We are to determine the surface area of the rectangular prism using it's net.

I would show you how to determine it using diagram below.

Find attached the diagram used in solving the question as well as the net obtained from the diagram.

Solution:

A net diagram is a 2-dimensional representation of a 3-dimensional solid in which case the solid is unfolded.

The net gives the total area of the sides and faces of the 3 dimensional figure.

The units of the diagram used are all in cm.

Using net diagram:

Area A = Area B = length × height = hl

Area C = Area D = width × length= wl

Area E = Area of F = height × width = hw

surface area of the rectangular prism = 2(wl + hl + hw)

w = width = 2cm

l= length = 7cm

h = height = 3cm

Insert the values in the formular

A = 2(2×7 + 3×7 + 2×3)

A = 2(14+21+6)

A = 2(41) = 82cm²

Surface area of the rectangular prism = 82cm²

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Step-by-step explanation:

We are given the following in the question:

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3 years ago

Y+1=3(x−4)<br> Find the Y intercept and the X intercept

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4 years ago

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Nikolay [14]

Answer:

Step-by-step explanation:

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3 years ago

F(n)=4n <br> g(n)=n2+2n <br> find f(g(-6))

ELEN [110]

Answer:

When f(n) = 4n and g(n) = n² + 2n, f(g(-6)) = 96.

Step-by-step explanation:

To evaluate f(g(-6)), first find g(-6).

g(n) = n² + 2n

Substitute value.

g(-6) = (-6)² + 2(-6)

Square -6. Remember that (-x)² = x²

g(-6) = 36 + 2(-6)

Multiply 2 and -6.

g(-6) = 36 - 12

Subtract 12 from 36.

g(-6) = 24.

Now knowing this, substitute that value into f(n).

f(g(-6)) = f(24)

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Substitute value.

f(24) = 4(24)

Multiply 4 and 24.

f(24) = 96.

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3 years ago