Question

13 Find the longest height of the cubical box when the edge of cubical box is 7 cm.​

Answer 1

Step-by-step explanation:

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A cubical block of side 7 cm is surmounted by a hemisphere of diameter equal to the side of the cube.Find the surface area of the solid.

A

332.5cm2

B

322.5cm2

C

342.5cm2

D

38.5cm2

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Correct option is

A

332.5cm2

The greatest diameter=side of the cube=7cm.

The radius of the hemisphere =3.5cm.

Now,

The Surface Area of Solid=Surface Area of Cube - Surface Area of Base Hemisphere + Curve Surface Area of Hemisphere

Surface Area of Cube

=6×side2

=6×7×7

=294sq cm

Surface Area of Base of Hemisphere is,

=πr2

=722×3.52

=38.5cm2

Curved Surface Area of Hemisphere is,

=2×38.5

=77sq cm

∴ total Surface Area is =294−38.5+77

=332.5sq cm.

Answer 2

Answer:

OK, let’s get this straight: you measure the box on the outside and find that each side is 7 cm, right?

In that case, the usable volume is 274.625 cm², assuming a 2.5 mm thick wall.