Polly used clay to make a figure in the shape of letter T. The total height of the clay figure is 10cm and the height of the horizontal prism is 3cm. The total width of the figure is 8cm and the width of the vertical prism is 3cm. If the thickness of the figure is 1cm, how much clay did Polly use?

A) 90 cubic centimeters

B) 54 cubic centimeters

C) 45 cubic centimeters

D) 108 cubic centimeters

Question

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Liam

13 December, 19:37

Polly used clay to make a figure in the shape of letter T. The total height of the clay figure is 10cm and the height of the horizontal prism is 3cm. The total width of the figure is 8cm and the width of the vertical prism is 3cm. If the thickness of the figure is 1cm, how much clay did Polly use?

A) 90 cubic centimeters

B) 54 cubic centimeters

C) 45 cubic centimeters

D) 108 cubic centimeters

+3

Answers (1)

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Dominic Mejia · Answer 1

Polly used C) 45 cubic centimeters (45 = (2 x (3x2.5x1) + (10x3x1)) of clay if the thickness of the figure is 1cm. This problem can be solved by using a simple prism's volume equation which is volume = height x width x thickness. First, you must separate the model into three parts: two horizontal prisms (h: 3cm, w:2.5cm, t:1cm) and one vertical prism (h: 10cm, w:3cm, t: 1cm) in order to calculate the total volume of the model.