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3 years ago

A rectangular prism has a surface area of 286 ft squared. The base is 5ft by 7ft what is the height of the prism?

Mathematics

1 answer:

sdas [7]3 years ago

7 0

Answer: The height is 9 feet.

Step-by-step explanation:

The surface area is the total of the areas of the 6 faces of the rectangular prism. Given 286 square feet.

The base given is 5ft by 7ft, so that will give the area of 2 faces;

the other pairs of faces have the unknown height as one factor

5ft by h and 7ft by h . Create an equation with those factors:

2(5×7) + 2(5h) + 2(7h) = 286 Distribute and compile

2(35) + 10h + 14h = 286 70 + 24h = 286 . Solve for h

24h = 286 - 70 . 24h = 216 . 216 ÷ 24 = 9

h = 9

So the height of the rectangular prism is 9 feet

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Answer:

Step-by-step explanation:

Given that:

The ratio of band students to choir students is 4 : 6.

Total number of students in the band and choir combined = 60

To find:

The number of students in the band = ?

Solution:

First of all, let us understand the meaning of the ratio given.

Ratio of 4 : 6 means there are 4 number of band students for every 6 number of choir students.

Also, number of band students will be in the multiples of 4 only and

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As per question statement, we can write the following equation:

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