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Dahasolnce [82]
3 years ago
7

A rectangular prism has a length of 1 2 in, a width of 2 in, and a height of 3 1 2 in. (a) How many cubes with side lengths of 1

2 in. will fit into the prism? Show your work or explain your thinking! (b) What is the volume of this prism? Write your answer as a simplified mixed number. Show ALL of your work!
Someone please help will give brainliest (50 pts)
Mathematics
2 answers:
erma4kov [3.2K]3 years ago
4 0
V of rectangular prism = l * w * h = 12 * 2 * 312 = 7,488 in³
V of one cube with side lengths 12 = l * w * h = 12 * 12 * 12 = 1,728 in³

Divide the volume of rectangular prism by the volume of the cube.

7488 / 1728 = 13 / 3 or 4.3. . .


mixas84 [53]3 years ago
4 0
V of rectangular prism = l * w * h = 12 * 2 * 312 = 7,488 in³V of one cube with side lengths 12 = l * w * h = 12 * 12 * 12 = 1,728 in³
Divide the volume of rectangular prism by the volume of the cube.
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Step-by-step explanation:

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A community hall is in the shape of a cuboid the hall is 40m long 15m high and 3m wide. 10 litre paint covers 25m squared costs
Darina [25.2K]

Answer:

Total cost for tiles and paints is $924.  

Step-by-step explanation:

We have been given that a community hall is in the shape of a cuboid. The hall is 40m long 15m high and 3m wide.

The paint will be required for 4 walls and ceiling.

Let us find area of walls and ceiling.

\text{Area of walls and ceiling}=(2*40*15)+(2*3*15)+(40*3)

\text{Area of walls and ceiling}=1200+90+120

\text{Area of walls and ceiling}=1410

Therefore, the area of walls and ceiling is 1410 square meters.

Given: Cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. Therefore,  

\text{ The total painting cost}=10*(\frac{1410}{25})

\text{ The total painting cost}=10*56.4=564

Therefore, the total painting cost is $564.  

Tiles will be required for floor. Let us find the area of floor.

\text{Area of floor} = 40*3\text{ square meters}

\text{Area of floor} =120\text{ square meters}

Given: 1m squared floor tiles costs $3. So,  

\text{Total cost for tiles} = 3*120 = 360

Therefore, the total tiles cost is $360.

Now let us find combined total cost of tiles and paint.

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Therefore, the combined total cost of tiles and paint is $924.

6 0
3 years ago
Nirja has 24 marbles. The number of marbles Nirja has is 6 more than the number of marbles Tim has. If Tim has x marbles, the eq
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3 0
3 years ago
Read 2 more answers
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pantera1 [17]

Answer:

(.5,3.5) is the center and 4 is the radius

Step-by-step explanation:

(X-0.5)^2+(y-3.5)^2=16

This is written in the form

(x-h)^2 + (y-k)^2 =r^2

where (h,k) is the center and r is the radius

(X-0.5)^2+(y-3.5)^2=4^2

(.5,3.5) is the center and 4 is the radius

5 0
3 years ago
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