Mathematics, 20.09.2019 06:00, isabellam646

What is the surface area of this design?

Answers: 2

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Answers

answered: giulissaf

Surface Area of Design = 256 in.²

Step-by-step explanation:

Given: a Shape which is made by placing two cuboid on one another.

To find: Surface area of shape.

Figure is attached.

Surface Area of Design

= Lateral Surface Area of Base Cuboid + Lateral Surface area of Top Cuboid + Area of rectangle CDLJ + Area of rectangle EFNM + Area of rectangle ABHG

Dimensions of Base Cuboid:

Length, CJ = 8 in.

Width, CD = LJ = MN = 5 in.

Height, AD = 4 in.

Dimensions of Top cuboid:

Length, HI = BI - BH = 8 - 4 = 4in.

Width, GH = KI = MN = 5 in.

Height, FH = JN - JI = 8 - 4 = 4 in.

Length of rectangle ABHG, AB = 5 in.

Width of rectangle ABHG , BH = 4 in.

Length of rectangle DCJL, DC = 5 in.

Width of rectangle DCJL , CJ = 8 in.

Length of rectangle EFNM, EF = 5 in.

Width of rectangle EFNM , FN = 4 in.

Lateral Surface Area of Base Cuboid = 2 × Height ( length + Width )

= 2 × 4 ( 8 + 5 )

= 8 ( 13 )

= 104 in²

Lateral Surface Area of Top Cuboid = 2 × Height ( length + Width )

= 2 × 4 ( 5 + 4 )

= 8 ( 9 )

= 72 in²

Area of rectangle DCJL = length × breadth

= 5 × 8

= 40 in.²

Area of rectangle ABHG = length × breadth

= 5 × 4

= 20 in.²

Area of rectangle EFNM = length × breadth

= 5 × 4

= 20 in.²

⇒ Surface Area of Design = 104 in.² + 72 in.² + 40 in.² + 20 in.² + 20 in.²

= 256 in.²

Therefore, Surface Area of Design = 256 in.²

What is the surface area of this design?

answered: Guest

step-by-step explanation:

answered: Guest

the answers c

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