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A candle is a square prism. The candle is 15 centimeters high, and its volume is 960 cubic centimeters. a) Find the length of each side of the square base. b) Find the surface area of the candle. I need step by step explanation not just a answer.

Sagot :

chukwuezugookafor200

Answer:

a] is 8cm

Step-by-step explanation:

A=2a2+4ah

a=8cm

h=15cm

therefore A=608

akposevictor

a. Length of each side of the square base = 8 cm

b. Surface area of the candle = surface area of square prism = 608 cm²

What is the Surface Area of a Square Prism?

Surface area of square prism = 2a² + 4ah, where a is the length of each side of the square base, and h is the height of the prism.

What is the Volume of a Square Prism?

Volume = a²h.

Given the following:

  • Height (h) = 15 cm
  • Volume = 960 cm³
  • Length of each side of the square base (a) = ?

a. Volume = a²h

Substitute

960 = (a²)(15)

960/15 = a²

64 = a²

a = √64

a = 8 cm

Therefore, the length of each side of the square base = 8 cm.

b. Surface area of the candle = surface area of square prism = 2a² + 4ah = 2(8²) + 4(8)(15)

Surface area of the candle = 608 cm²

Learn more about the surface area of square prism on:

https://brainly.com/question/14305617

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