sheela26
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20 points and a brainliest! And PLEASE show your work.
Find the volume and total surface area of the figure. Include the formula and each step of your process.

(this is the first figure. I have three others)

20 points and a brainliest And PLEASE show your work Find the volume and total surface area of the figure Include the formula and each step of your process this class=

Respuesta :

Answer:

  • Volume of cubiod= 108 in³
  • TSA of cubiod = 168 in²

Step-by-step explanation:

Given:

Dimensions of cubiod :

  • Length = 9 in.
  • Breadth = 6 in.
  • Height = 2 in.

To Find:

  • Volume and Total surface area

Solution:

We know that,

  • Volume of cubiod = Lbh

So,

→ Volume = 9 × 6 × 2

→ Volume = 54 × 2

→ Volume = 108 in³

And,

  • TSA of cubiod = 2(lb + bh + hl)

Substituting the values, we get:

→ TSA = 2(9 × 6) + (6 × 2) + (9 × 2)

→ TSA = 2(54 + 12 + 18)

→ TSA = 2 × 84

→ TSA = 168 in²

Hence,

  • Volume of cubiod= 108 in³
  • TSA of cubiod = 168 in²
profereyes12122

Answer:

Volume = 108 cu.in.

Area = 168 cu.in.

Step-by-step explanation:

rectangular prism

Volume = (6)(2)(9) = 108 cu.in

Surface:

6-sided prism;

2 (9×2) = 2 (18) = 36 sq.in.

2 (9×6) = 2 (54) = 108 sq.in.

2 (2×6) = 2 (12) = 24 sq.in.

Total surface area:

A = 36 + 108 + 24 = 168 sq. in.

Hope this helps

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