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Komok [63]
3 years ago
9

What is the volume enclosed by the slanted prism in the diagram? A. 225 cm3 B. 270 cm3 C. 300 cm3 D. 540 cm3

Mathematics
1 answer:
Leokris [45]3 years ago
4 0

Answer:

<h2>A. 225 cm3</h2>

Step-by-step explanation:

The volume of a slanted prism is defined as the product between the area of its base and its height.

Remember that height is the distance from the top to the bottom, reaching that bottom with a perpendicular angle.

So, in this case, the height is 9 cm, and the area of the base is 25 square centimeter.

This means the volume is

V=Bh=25cm^{2}(9cm)=225cm^{3}

Therefore, the right answer is A.

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This question is not complete because his height and age was not indicated in the above question.

Complete Question:

Rick is a healthy 19-year-old college student who is 70 inches tall and weighs 205 pounds. He has decided to "get a six-pack" over the summer with a diet and exercise program. As part of his new plan, he has stopped drinking soda and is eating more salads in addition to his usual diet. Besides of these changes, he is unclear on how to proceed to reach his fitness goal. Rick's mother wants to make sure his approach will not interfere with his normal growth and development, and has asked him to seek reliable information to help him make a reasonable plan.

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2696 kilocalories

Step-by-step explanation:

STEP 1

First we need to calculate Rick's Basal Metabolic Rate( BMR)

Weight in pounds = 205 pounds

Age = 19 years

Height in inches = 70 inches

The formula for calculating Basal Metabolic Rate for men =

BMR = 66.47 + ( 6.24 × weight in pounds ) + ( 12.7 × height in inches ) − ( 6.755 × age in years )

BMR = 66.47 + ( 6.24 × 205 ) + ( 12.7 × 70 ) − ( 6.755 × 19)

= 2247

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The next step is to calculate the maximum amount kilocalories per day Rick should consume

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For a person with physical activity factor of a ' low Active'

Maximum amount of kilocalories to consume per day = Basal Metabolic rate × 1.2

= 2247 × 1.2

= 2696 Kilocalories (kcalories) per day

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