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iren2701 [21]
3 years ago
5

Madhu has a box and a few identical cubical blocks of side 2 cm. She finds that only 4 blocks fit in the box completely with no

space left in the box. What is the volume of the box?
A 8 cm3 B 32 cm3

C n64 cm3 D 96 cm3


please can someone answer it please.... options are there.....
Mathematics
1 answer:
Sedaia [141]3 years ago
6 0

Answer:

The volume of the box = 4 x the volume of cubical blocks;

The volume of cubical box = 2^3 = 8 cm3;

The volume of the box = 4 x 8 = 32 cm3;

The correct answer is B 32 cm3;

Step-by-step explanation:


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This figure is made up of a quadrilateral and a semicircle.
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Answer:

The correct option is B. The area of the figure is 40.4 units².

Step-by-step explanation:

The line AB divides the figure in two parts one is a rectangle and another is semicircle.

The distance formula is

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

The length of AB is

AB=\sqrt{(2+3)^2+(4-2)^2}=\sqrt{25+4}=\sqrt{29}

The length of AD is

AD=\sqrt{(-1+3)^2+(-3-2)^2}=\sqrt{4+25}=\sqrt{29}

Since AB=AD, therefore ABCD is a square. The area of the of square is

A_1=a\times a=\sqrt{29}\times \sqrt{29} =29

The area of square is 29 units².

The area of a semicircle is

A_2=\frac{\pi}{2}r^2

Since AB is the diameter of the semicircle, therefore the radius of the semicircle is

r=\frac{d}{2}=\frac{\sqrt{29}}{2}

The area of the semicircle is

A_2=\frac{3.14}{2}(\frac{\sqrt{29}}{2})^2=40.3825

The area of the figure is

A=A_1+A_2=29+11.2825=40.3825\approx 40.4

Therefore the area of the figure is 40.4 units². Option B is correct.

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Step-by-step explanation:

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