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2 years ago

Depth: 1.8 m Width: 2.5 m Height: 2 m What is the cuboid's volume?

Mathematics

2 answers:

kirill115 [55]2 years ago

6 0

Answer:

Cuboids volume is 9 m³.

Step-by-step explanation:

Since we have given that

Depth = 1.8 m

Width= 2.5 m

Height =2 m

we have to find volume of cuboid.

Volume = Depth × height × width

Volume = 1.8 ×2 ×2.5 m³

Volume = 9 m³

8090 [49]2 years ago

5 0

Answer:

9 m³

Step-by-step explanation:

The formula for calculating the volume (V) of a cuboid is

V = depth × width × height

= 1.8 × 2.5 × 2 = 9 m³

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Polygon ABCD is reflected and dilated to give polygon PQRS. The coordinates of the preimage are (2, 2), (6, 8), (12, 8), and (16

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Answer: The scale factor of the dilation is 0.5.

Explanation:

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The reflection affects the coordinates but does not affect the length of the sides.

But when we talk about dilation it affects the length of sides according to the scale factor or a constant factor.

If a line segment AB is dilated by scale factor k then length of A'B' is k times length of AB.

$|A'B'|=k\times |AB|$ .... (1)

So we have to find any side length of preimage and the side length of that side in image. it means we have to find AB and PQ.

Use distance formula to find the side length.

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

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It is noticed that the size of side in preimage is $2\sqrt{13}$ and the size of same side in image is $\sqrt{13}$ .

Using equation (1), we get

$\sqrt{13}=k \times 2\sqrt{13}$

$k=\frac{1}{2}$

$k=0.5$

Hence, the value of scale factor is 0.5.

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