The surface area of a cube is 1734 cm^2, its volume is : Option 1: 4913\ cm^3 Option 2: 3847\ cm^3 Option 3: 3528\ cm^3 Option 4: 3941\ cm^3

Answer: 4913\ cm^3. Solution: For a cube of edge a, surface area = 6a^2. 6a^2 = 1734 a^2 = 289 a = 17 cm. Volume = a^3 = 17^3 = 4913\ cm^3.

Geometry

Solids

Easy

The surface area of a cube is 1734 $cm^2$ , its volume is :

$4913\ cm^3$

$3847\ cm^3$

$3528\ cm^3$

$3941\ cm^3$

✅ Correct Option: 1

For a cube of edge $a$ , surface area $= 6a^2$ .

$6a^2 = 1734 \Rightarrow a^2 = 289 \Rightarrow a = 17$ cm.

Volume $= a^3 = 17^3 = 4913\ cm^3$ .

2022: 8 Aug Shift 1

In a swimming pool measuring 80 m x 60 m, 120 men take a dip. If the average displacement of water by a man is 6 m $^3$ , then the rise in water level is -

2025: 26 May Shift 1

A sphere of maximum volume is 'cut out' from a solid hemisphere of radius r. The ratio of the volume of the hemisphere to that of the cut-out sphere is:

2022: 6 Oct Shift 1

The volume of cylinder is

2022: 8 Aug Shift 1

A volume of a wall is 128 cm $^3$ . If the height of the wall is 6 times its breadth and the length is 9 times its breadth, find the breadth.

2023: 7 June Shift 1

The heights of two right circular cones are in the ratio 1 : 2 and the circumferences of their bases are in the ratio 3 : 4. Find the ratio of their volumes.

2023: 1 June Shift 1

A toy is made in the shape of a hemisphere of diameter 7 cm surmounted by a cone. If this 15.5 cm high toy is polished at 20 paise per cm $^2$ , then find the cost of polishing. Take $\pi = \frac{22}{7}$

The surface area of a cube is 1734 cm2cm^2cm2, its volume is :

Solution

Related questions:

Keyboard Shortcuts

CUET General Test Past Year Questions (Topic-Wise)

The surface area of a cube is 1734 $cm^2$ , its volume is :