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s344n2d4d5 [400]
3 years ago
5

You are wrapping a birthday gift that is packaged in a specially made pyramid-shaped box. The base of the box measures 10 inches

by 9 inches and the slant height is 6 inches. How much paper do you need to wrap the box
Mathematics
1 answer:
mr Goodwill [35]3 years ago
3 0

Answer:

2826  inches^2

Step-by-step explanation:

The general formula for the total surface area of a regular pyramid is

T.S.A.=12pl+B

Where p represents the perimeter of the base, l the slant height and B the area of the base.

The perimeter of the base is.  

p=2L+2W

P=2*10+2*9

P=20+18

P= 38  inches

The area of the base is.

B=10*9

B=90in^2

T.S.A.=12(38)(6)+90              

T.S.A=2736+90

T.S.A=2826  inches^2

Hence the paper needed is 2826  inches^2

You might be interested in
The perimeter of the aqua rectangle is 72 feet. What is the measure of the rectangle’s longest side?
dimulka [17.4K]

Answer:

53

Step-by-step explanation:

72 = x + 3x - 4

72 = 4x - 4

72 + 4 = 4x - 4 + 4

76 = 4x

76/4 = 4x/4

x = 19

3(19) - 4 = 53

Hope this helps!

8 0
2 years ago
A triangular prism is 40 millimeters long and has a triangular face with a base of 24 millimeters and a height of 35 millimeters
abruzzese [7]

Answer:

26,508

Step-by-step explanation:

To find out how to solve this is that we first need to know that Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.

Also: To find the total surface area of a prism, you need to calculate the area of two polygonal bases, the top face and bottom face. And then calculate the area of lateral faces connecting the bases. Add up the area of the two bases and the area of the lateral faces to get the total surface area of a prism.

The top= 12 x 24 x 35 = 10,080

The lateral faces: 12 x 37 x 37 = 16,428

Surface Area= 10,080 + 16,428 = 26,508

7 0
3 years ago
Samantha just opened a new restaurant. She earned $550 on the first day and $750 on the third day that she was open for business
mr Goodwill [35]

Answer:

Step-by-step explanation:

If Samantha's earnings continue to increase at the same rate, this means that her earning is increasing arithmetically.

If she earned $550 in the first day, we can say the first term is $550

If she earned $750 on the third day, we can say the third term is $750

For us to know by how much her money is increasing, we need to find the common difference d formed by the sequence

550, x , 750

T1 = 550

T2 = x

T3 = 750

Common difference d = T2-T1 = T3-T2

x - 550 = 750 - x = d

Let's calculate the second term first i.e x

Since x - 550 = 750 - x = d

x - 550 = 750 - x

Collect like terms

x+x = 750+550

2x = 1300

x = 1300/2

x = 650

d = T2-T1

d = x - T1

d = 650-550

d = 100

Hence her money keeps increasing by $100 each day

8 0
3 years ago
Is 2,107,954 even or odd
RSB [31]

Answer:

Even

Step-by-step explanation:

Ends in 4

4 0
2 years ago
Read 2 more answers
-8, 22, 52, 82, ...<br> Find a 20
gladu [14]

Answer:

Step-by-step explanation:

It is an arithmetic sequence with common difference d = 30.

a₂₀ = a₁ + (20-1)d = -8 + 19·30 = 562

8 0
3 years ago
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