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Brrunno [24]
3 years ago
12

What is the surface area of a rectangular prism with a length of 14 feet, width of 7 feet, and height of 8 feet?​

Mathematics
1 answer:
gladu [14]3 years ago
3 0

Answer:

A  =  532 ft^2 total

Step-by-step explanation:

There are 3 sets of 2 identical areas:  2 top/bottom, 2 sides, 2 ends.

Suppose the length is 14 ft, the width 7 ft and the height 8 ft.

A =  2 * (base area) + 2 * (end area) + 2 (side area)

   = 2 * (98 ft^2)       + 2 * (56 ft^2)     + 2 (112 ft^2)

   = 196 ft^2 + 112 ft^2 + 224 ft^2

A  =  532 ft^2 total

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irina1246 [14]

Answer:

The true statements are

1. BD = DB'

3. m∠EFA = 90°

4. The line of reflection, EH, is the perpendicular bisector of BB', AA', and

   CC'

Step-by-step explanation:

* Lets explain how to solve the problem

- Reflection is flipping an object over the line of reflection.

- The object and its image have the same shape and size, but the

  figures are in opposite directions from the line of reflection

- The objects appear as if they are mirror reflections, with right and left

  reversed

- The line of reflection is a perpendicular bisector for all lines joining

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- Look to the attached figure for more understand

* Lets solve the problem

- ΔA'B'C' was constructed using ΔABC and line segment EH, where

 EH is the reflection line

- D is the mid-point of BB'

- F is the mid-point of AA'

- G is the mid-point of CC'

* Lets find from the answer the true statements

1. BD = DB'

∵ D is the mid point of BB'

- Point D divides BB' into two equal parts

∴ BD = DB' ⇒ <em>True</em>

2. DF = FG

- It depends on the size of the sides and angles of the triangle

∵ We can't prove that

∴ DF = FG ⇒ <em>Not true</em>

3. m∠EFA = 90°

∵ The line of reflection ⊥ the lines joining the points with their

   corresponding images

∴ EH ⊥ AA' and bisect it at F

∴ m∠EFA = 90° ⇒ <em>True</em>

4. The line of reflection, EH, is the perpendicular bisector of BB',

   AA', and CC'

- Yes the line of reflection is perpendicular bisectors of them

∴ The line of reflection, EH, is the perpendicular bisector of BB',

   AA', and CC' ⇒ <em>True</em>

5. ΔABC is not congruent to ΔA'B'C'

∵ In reflection the object and its image have the same shape and size

∴ Δ ABC is congruent to Δ A'B'C'

∴ ΔABC is not congruent to ΔA'B'C' ⇒ <em>Not true</em>

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3 years ago
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Nimfa-mama [501]

Answer:

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Step-by-step explanation:

1. split the figure in small definite sections

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2 years ago
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Yuki888 [10]

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maksim [4K]
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So in this case the median is 
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Answer:

Step-by-step explanation:

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