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amid [387]
3 years ago
6

FIND THE LATERAL SURFACE AREA OF THE RECTANGULAR PRISM IN CENTIMETERS?

Mathematics
1 answer:
Leya [2.2K]3 years ago
7 0

Answer:

A

Step-by-step explanation:

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please help. answer is 62.1m(squared) and the objects are composite! please show the work, no matter what i do i cant seem to ge
yuradex [85]

Answer:

SA=62.1\ m^2

Step-by-step explanation:

step 1

Find the surface area of the smaller rectangular prism

SA=2B+Ph

where

B is the area of the base

P is the perimeter of the base

h is the height of the prism

SA=2[(2.5)(1.5)]+2(2.5+1.5)(1.5)

SA=7.5+12=19.5\ m^2

step 2

Find the surface area of the cube

SA=6s^2

where

s is the length side of the cube

SA=6(2.5^2)=37.5\ m^2

step 3

Find the lateral area of the cylinder

LA=\pi DL

where

D is the diameter of the base

L is the length of cylinder

LA=(3.14)(0.5)(3.5)=5.495\ m^2

step 4

Find the area of the base of cylinder

A=\pi r^{2}

we have

r=0.5/2=0.25\ m ----> the radius is half the diameter

A=(3.14)(0.25)^{2}=0.19625\ m^2

step 5

Find the surface are of the composite figure

we know that

The surface area of the composite figure is equal to the surface area of the smaller rectangular prism plus the lateral area of the cylinder, plus the surface area of the cube, minus the area of the two bases of cylinder

so

SA=19.5+5.495+37.5-2(0.19625)=62.1\ m^2

5 0
3 years ago
Help with this question ??
NNADVOKAT [17]

Answer: 12 tables minimum, 15 max.

Step-by-step explanation:

If you substitute 14 in an inequality

200c + 500t >= 8800

200(14) + 500t and solve for t, you get t must be at least 12.

C +T cannot exceed 29

So figure 14 +12 =26 so they could sell up to 15 tables and not go over 29.

You will have to enter the t values 12,13,14,15

5 0
3 years ago
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