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Matematika 1. The shaded face of a cuboid is a square. The length of the cuboid is 25 cm and its volume is 4900 cm? Find the length of one side of the square face. 25 cm 2. The capacity of a rectangular container is 425 m². Its height is 17 m. The base of the container is a square. Find the length of a side of its base. 17 m ?​

1. The shaded face of a cuboid is a square. The length of the cuboid is 25 cm and its volume is 4900 cm? Find the length of one side of the square face. 25 cm 2. The capacity of a rectangular container is 425 m². Its height is 17 m. The base of the container is a square. Find the length of a side of its base. 17 m ?​

Jawab:

1) 14 cm

2) 5 cm

3) 17 cm

Penjelasan dengan langkah-langkah:

#1

It talks about the volume of the cuboid.

Do you remember how to find the volume of the cuboid?

Here is the formula:

Vol = area of the base x length of the cuboid

volume = 4900 cm³

area of the base = ?

length of the cuboid = 25

With this formula, we can find the area of the base (the shaded area).

Vol = area of the base x length of the cuboid

4900 = area of the base x 25

area of the base = 4900 : 25

area of the base = 196 cm²

Note that we are asked to find the length of one side of the square. It means we need to find the square root of the area of the base.

area of a square = side x side

side = square root of the area

side = √196

side = 14 cm

#2

This problem is similar to #1, so to find the length of a side of its base we use the same way as #1.

Here is the formula:

Vol = area of the base x length of the cuboid

volume = 425 cm³

area of the base = ?

length of the cuboid = 17

With this formula, we can find the area of the base (the shaded area).

Vol = area of the base x length of the rectangular container

425 = area of the base x 17

area of the base = 425 : 17

area of the base = 25 cm²

Now we need to find the square root of the area of the base.

area of a square = side x side

side = square root of the area

side = √25

side = 5 cm

#3

In this problem we see that we already know the cube's volume.

Do you remember how to find the cube's volume?

It actually has the same concept to the cuboid's volume that we should multiply the area of the base by the height. However, since all of the edges have the same length, we just need to multiply them three times.

Here's the formula how to find the cube's volume:

Vol = edge x edge x edge

Volume = 4913 cm³

edge = ?

We can write the formula like this:

Vol = edge³

4913 = edge³

edge = ∛4913

edge = 17 cm

Hope this explanation can help you.
Jangan sungkan jika ada yang ingin ditanyakan kembali.

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