MATHEMATICS HIGH SCHOOL

Two same-sized triangular prisms are attached to a rectangular prism as shown below.If a = 20 cm, b = 13 cm, c = 12 cm, d = 5 cm, and e = 8 cm, what is the surface area of the figure?
a 1,208 square centimeters
b 1,592 square centimeters
c 1,004 square centimeters
d 1,400 square centimeters

Answers

Answer 1

Answer:

Answer: a) 1,208 square centimeters

Step-by-step explanation:

The surface area would be the sum of the different areas separated in the figure.

The area of the front and back faces of the rectangular prism:

$a*c*2=20*12*2=480cm^(2)$

The area of the top and the base of the rectangular prism:

$a*e*2=20*8*2=320cm^(2)$

The area of the front and back faces of both triangular prisms:

$(d*c)/(2)*4=(5*12)/(2)*4=30*4=120cm^(2)$

The area of the side faces of both triangular prisms:

$e*b*2=8*13*2=208cm^(2)$

The area of the bases of both triangular prisms:

$d*e*2=5*8*2=80cm^(2)$

Finally, the surface area of the whole figure:

$480+320+120+208+80=1,208cm^(2)$

Answer 2

Answer: A*E*2= 20*8*2=320
A*C*2= 20*12*2=480
D*C/2*4 5*12*2=120
B*E*2 13*8*2=208
D*E*2 5*8*2=80
320+480+120+208+80=1208
so ur answer is A

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Elaina wrote two correct variable expressions to represent the phrase “one-fourth of a number.” Which variable expressions could Elaina have written? Select each correct answer. A.) 4 ÷ n
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Answer:

$(1)/(4)n$

$(n)/(4)$

C and D are correct options.

Step-by-step explanation:

The given phrase is “one-fourth of a number.”

Let the number be n.

one fourth means 1/4

Hence, the phrase “one-fourth of a number.” can be written as

$(1)/(4)n$

We can rewrite this expression by multiplying numerator as

$(n)/(4)$

Therefore, the required expressions are

$(1)/(4)n$

$(n)/(4)$

C and D are correct options.

1/4n, and also D IF it's n/4.

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An employee makes an hourly rate plus any tips they earn. This tip employee made a total of $400 by working 28 hours last week. If $253 of their total earnings was their tips, what is their hourly rate of pay?

Answers

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Answer:

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Step-by-step explanation:

Write 9/25 as a percent and a decimal. A) 2.25 and 225%
B) 0.36 and 36%
C) 0.36 and 3.6%
D) 0.036 and 0.36%

Answers

B) 0.36 and 36%

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A scale drawing of an office space uses a scale of 2 inches in 3 yards the scale drawing has an area of 16 in.² what is the area of the actual office space

Answers

Answer:

36 Square Yards

Step-by-step explanation:

The Scale Drawing uses a ratio

2 Inches : 3 Yards

Therefore,

1 Inch = 3/2 Yards

If the area of the scale drawing is 16 Inch²

To get the area of the actual office, we multiply by the square of the scale factor.

Scale Factor=3/2

Therefore:

The area of the actual office space

=16X(3/2)² Square Yards

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Answer:

36 square yards.

Step-by-step explanation:

This question is solved with rule of three and ratios

We know that 2 inches is equivalent to 3 yards, and the area in the drawing is 16 square inches.

so if

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Let's say that the office is 8 inches x 2 inches = 16 squared inches

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Two same-sized triangular prisms are attached to a rectangular prism as shown below.If a = 20 cm, b = 13 cm, c = 12 cm, d = 5 cm, and e = 8 cm, what is the surface area of the figure?a 1,208 square centimetersb 1,592 square centimetersc 1,004 square centimetersd 1,400 square centimeters

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Two same-sized triangular prisms are attached to a rectangular prism as shown below.If a = 20 cm, b = 13 cm, c = 12 cm, d = 5 cm, and e = 8 cm, what is the surface area of the figure?
a 1,208 square centimeters
b 1,592 square centimeters
c 1,004 square centimeters
d 1,400 square centimeters