8.1.10. Applications on Real Numbers

If two circles have the same center and the lengths of their radii are cm and cm, find the area of the region between them in terms of .

• A
• B
• C
• D
Show Solution

Find the total area of a cuboid having a square shaped base and a volume of and a height of cm.

• A
• B
• C
• D
Show Solution

A cube has an area of and a cuboid has dimensions of cm, cm, and cm. Which of the two has a higher volume?

• Athe cuboid
• Bthe cube
Show Solution

A hard rectangular piece of paper has a length of cm and a width of cm. A square whose side is cm was cut from each of its four corners and the remaining part was folded to form a shape of a cuboid. Find the total area of the cuboid.

• A
• B
• C
• D
Show Solution

A hard rectangular piece of paper has a length of cm and a width of cm. A square whose side is cm is cut from each of its four corners and the remaining parts are folded to form the shape of a cuboid. Find the volume of the cuboid.

• A
• B
• C
• D
Show Solution

Find the total area of the cube whose volume is .

• A
• B
• C
• D
Show Solution

Find the volume of a right circular cylinder whose base radius is cm and height is cm.

• A
• B
• C
• D
Show Solution

Find the total area of a right circular cylinder whose base radius is cm and height is cm.

• A
• B
• C
• D
Show Solution

A piece of paper has a shape of a rectangle of which cm and cm. It was folded to form a right circular cylinder such that is congruent to . Find the volume of the resulted cylinder.

• A
• B
• C
• D
Show Solution

Find the total area of a right circular cylinder whose volume is and height is cm.

• A
• B
• C
• D
Show Solution

If the volume of a sphere is , find its surface area in terms of .

• A
• B
• C
• D
Show Solution

Find the volume of a sphere whose diameter is cm.

• A
• B
• C
• D
Show Solution

Find the surface area of a sphere whose diameter is cm.

• A
• B
• C
• D
Show Solution

If a sphere has a diameter of cm, then its volume is .

• A
• B
• C
• D
36 000
Show Solution

A sphere with a volume of is placed inside a cube. If the sphere touches the cube's six faces, find the volume of the cube.

• A
• B
• C
• D
Show Solution

If a cube has a volume of , then its edge length is cm.

• A 2
• B 8
• C 16
• D 4
Show Solution

After being melted, a metal sphere with a diameter of cm changed its form to a right circular cylinder with a base radius of cm. Find the height of the cylinder.

• Acm
• Bcm
• Ccm
• Dcm
Show Solution

Find the height of a right circular cylinder whose height is equal to its base radius and its volume is .

• Acm
• Bcm
• Ccm
• Dcm
Show Solution

Calculate the radius of a right circular cylinder whose volume is and height is cm.

Show Solution

Find the total area of the cube whose edge length is cm.

• A
• B
• C
• D
Show Solution

A hollow metal sphere has an internal radius of cm and an external radius of cm. Find its mass to the nearest gram given that the mass of a cubic centimeter of the metal is gm.

Show Solution

If a cuboid has dimensions of cm, cm, and cm, then its volume is .

Show Solution

A lead cuboid has dimensions of cm, cm, and cm. If the cuboid is melted to form a sphere, find its radius.

Show Solution