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3 years ago

What is the lateral surface are of this triangular prism?

Mathematics

2 answers:

exis [7]3 years ago

6 0

Answer:

96 in²

Step-by-step explanation:

Lateral surface area

= 3 rectangles

(4×8) + (3×8) + (5×8)

32 + 24 + 40

96 in²

maria [59]3 years ago

3 0

Answer:

96 inches squared

Step-by-step explanation:

The lateral area of the prism is the part that is not the bases. The bases here are the triangles, which means the lateral area will be the rectangles.

There are 3 rectangles with dimensions:

- 5 in by 8 in

- 4 in by 8 in

- 3 in by 8 in

The area of a rectangle is denoted by: A = lw, where l is the length and w is the width. Calculate the areas:

- 5 * 8 = 40

- 4 * 8 = 32

- 3 * 8 = 24

Add these up:

40 + 32 + 24 = 96

The answer is 96 inches squared.

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3 years ago

Rewrite 14 1/3 as an improper fraction

Anastaziya [24]

Answer:

Step-by-step explanation:

((14×3) + 1 )/3 = (43/3)

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3 years ago

Complete the statement below.

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▹ Answer

▹ Step-by-Step Explanation

You can use any expression that shows the commutative property of multiplication. For example, 3 × 4 = 4 × 3

Hope this helps!

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4 0

3 years ago

1. Write a rule that will take the triangle to a congruent triangle. Write your rule as (x,y)

olga nikolaevna [1]

Transforming a shape involves changing the size and/or the location of the shape.

The rule that will take the triangle to a congruent triangle is $(x,y) \to (x,-y)$
The rule that will take the triangle to a figure that is similar is $(x,y) \to (0.5x,0.5y)$ .
The rule that will take the triangle to a figure that is not similar or congruent is $(x,y) \to (0.5x,2y)$ .

<h3>Rigid transformation</h3>

When a shape is transformed by a rigid transformation, then the image of the shape will be congruent to the original shape.

An example of a rigid transformation is a reflection over the x-axis; and the rule is:

$(x,y) \to (x,-y)$

So, a rule that will take the triangle to a congruent triangle is $(x,y) \to (x,-y)$

<h3>Nonrigid transformation</h3>

When a shape is transformed by a nonrigid transformation, then the image of the shape will not be congruent to the original shape, however the original shape and the transformed shape would be similar

An example of a nonrigid transformation is a dilation by a scale factor od 0.5; and the rule is:

$(x,y) \to (0.5x,0.5y)$

So, a rule that will take the triangle to a figure that is similar is $(x,y) \to (0.5x,0.5y)$

However, if the x and y coordinates of the shape are dilated by different scale factors, then the resulting shape would neither be similar nor be congruent to the original shape.

A rule that will take the triangle to a figure that is not similar or congruent is $(x,y) \to (0.5x,2y)$ .