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DanielleElmas [232]
3 years ago
14

What is the longest line segment that can be drawn in a right rectangular prism that is 14 cm long 11 cm wide and 7 cm tall

Mathematics
1 answer:
weqwewe [10]3 years ago
4 0

Answer:

The longest segment is approximately 19.13cm

Step-by-step explanation:

Given

l = 14cm

w = 11cm

h = 7cm

Required

The length of the longest segment (d)

This is calculated using:

d = \sqrt{l^2 +w^2 + h^2

So, we have:

d = \sqrt{14^2 +11^2 +7^2

Using a calculator, the equation becomes

d = \sqrt{366

Take square roots

d = 19.13cm

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We want to find the surface area, which will essentially just be the areas of all the figures given in the net.

We have two congruent triangles and 3 different rectangles.

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The area of a triangle is denoted by: A = (1/2) * b * h, where b is the base and h is the height. The base here is 3 and the height is 4, so:

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