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A triangular prism has a base length of 1.5 centimeters, a base height of 3 centimeters, and a height of 12 centimeters.

Question 1
Part A

Find the volume of the prism.

Enter the correct answer in the box.

Sagot :

Answer:

V=[tex]27 cm^{3} \\[/tex]

Step-by-step explanation:

[tex]Area -of-triangle=\frac{1}{2} \times base\times height=0.5\times1.5\times 3=2.25cm^{2} \\Vol=Area\times height= 2.25\times 12=27 cm^{3} \\[/tex]

Bubblybutterfly

Answer:

Part A: 108

Part B: 24.

Step-by-step explanation:

Explanation: The formula for volume of a prism is V=Bh. (B is base area and H is height). The information doesn't provide base area so you need to find base area. The formula for base area is 1/2 x base side x height, so 1/2 x 1.5 x 12 = 9. (This is the formula for triangular prism.)  Now do the volume formula; 9 x 12 = 108. Now for part B: Divide the volume by the base area. 108 / 4 1/2 = 24. So the answer for A is 108 and for B it's 24. Check your answer: 4 1/2 x 24 = 108.

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