Mathematics, 13.04.2020 01:08 edjiejwi

Two cardboard boxes are stacked on top of each other. The top box is a cube with sides of 10 in. The bottom box is a rectangular prism with a length of 20 in, width of 15 in, and height of 8 in. Find the surface area of the composite shape. Select the correct answer.

A. 1,605 in²
B. 1,506 in²
C. 1,560 in²

Answers: 3

Show answers

Answers

Answer from: Ain805

The surface area of the composite shape is 1560 square inches

Step-by-step explanation:

The surface area of the top cardboard is,

SA = 5 x area of each side

Because one side is attached with another cardboard box . So while finding the area only 5 sides are calculated.

SA = 5 ( 10 x 10)

= 500 square inches

The surface area of the rectangular prism cardboard,

Given that,

l = 20 in

w =15 in

h = 8 in

A = 2(lw + wh + hl) - 100

We are subtracting 100 because it is the area of one side of the square cardboard box on top of the rectangular prism box .

A = 2(300 + 120 + 160) - 100

= 2(580) - 100

= 1160-100

= 1060 square inches

Total surface area = SA + A

= 500 + 1060

= 1560 square inches

Answer from: demilasyone01

The surface area of composite shape is 1760 square inches, if two cardboard boxes are stacked on top of each other. The top box is a cube with sides of 10 in and the bottom box is a rectangular prism with a length of 20 in, width of 15 in, and height of 8 in.

Step-by-step explanation:

The given is,

The top box is a cube with sides of 10 in

The bottom box is a rectangular prism with a length of 20 in, width of 15 in, and height of 8 in.

Step:1

Surface area of composite figure = Surface area of cube +

Surface area of rectangular prism

Step:2

Formula for surface area of cube,

$Surface area cube, A _{Cube} = 5a^{2}$

( Only 5 sides area considered )

Where, a - Side of cube

From given, a = 10 inches

From the surface area equation,

$A_{Cube} = 5 (10)^{2}$

= (5)(100)

= 500

Surface area of cube = 500 square inches

Step:3

Formula surface area of rectangular prism,

$A _{rectangular prism} = 2 (wl+lh+hw)-100$

Where, w - Width

l - Length

h - Height

From the given values.

w = 15 inches

l = 20 inches

h = 8 inches

Surface area equation becomes,

$A _{rectangular prism} = 2 ((20)(15)+(20)(8)+(8)(15))-100$

= 2 ( 300 + 160 + 120 )-100

= 2 (580)-100

Surface area of rectangular prism = 1060 square inches

From the step 1,

Surface area of composite shape = 500+1060

= 1560 square inches

Result:

The surface area of composite shape is 1560 square inches.

Answer from: Quest

can you add an image ?

step-by-step explanation:

Answer from: Quest

X=14 hope it !

Another question on Mathematics

Mathematics, 21.06.2019 19:30

Consider a cube that has sides of length l. now consider putting the largest sphere you can inside this cube without any point on the sphere lying outside of the cube. the volume ratio -volume of the sphere/ volume of the cube is 1. 5.2 × 10−1 2. 3.8 × 10−1 3. 1.9 4. 2.5 × 10−1 5. 3.8

Answers: 2

Answer

Mathematics, 21.06.2019 20:00

Guys i need ! graded assignment grade 8 checkpoint 2, part 2 answer the questions below. when you are finished, submit this assignment to your teacher by the due date for full credit. total score: of 9 points (score for question 1: of 4 points) 1. the cost of renting a car for a day is $0.50 per mile plus a $15 flat fee. (a) write an equation to represent this relationship. let x be the number of miles driven and y be the total cost for the day. (b) what does the graph of this equation form on a coordinate plane? explain. (c) what is the slope and the y-intercept of the graph of the relationship? explain.

Answers: 1

Answer

Mathematics, 21.06.2019 21:30

Mis the midpoint of rq if rm equals 2x + 5 and mq equals 4x - 9 what is the length of rq

Answers: 1

Answer

Mathematics, 22.06.2019 00:00

The perimeter of a quarter circle is 14.28 miles. what is the quarter circle's radius?

Answers: 1

Answer

You know the right answer?

Two cardboard boxes are stacked on top of each other. The top box is a cube with sides of 10 in. The...