# Square (second power, quadratic) - practice problems

#### Number of problems found: 2602

- Revolving to cone

A triangle whose sides are 20 cm, 16 cm and 12 cm is revolving round its greatest side as axis. What is the volume space it generates after a full revolution in cubic centimeters? - Two points

M and N are two points on the X-axis and Y-axis, respectively. Point P (3, 2) divides the line segment MN in a ratio of 2:3. Find: (i) the coordinates of M and N (ii) slope of the line MN. - A boat 3

A boat takes 1 hour longer to go 36 km up a river than to return. If the river flows at 3 km/h, find the rate at which the boat travels in still water. - Of three

Of three positive numbers the product of the first and second is 42, second and third is 56 and that of third and first is 48. Find the third number.

- Spheres to cone

Two solid spheres of radii 2 cm and 4 cm are melted and recast into a cone of height 8 cm. Find the radius of the cone so formed. - The square - midpoints

The area of a square ABCD is 36 cm². Find the area of the square obtained by joining the midpoints of the sides of the square ABCD. - Ones cube

Find the volume of a cube whose total surface area is 6 m². - A random 2

A random sample of 40 families has an average water consumption of 29 cubic meters per month, with a sample standard deviation of 8 cubic meters. Give the 90% confidence interval for the mean usage of water per month. - A student 8

A student was asked to write 2^{5}* 9² . By mistake he write 2592. Find the difference.

- The cuboid 2

If the areas of three adjacent faces of a cuboid are 6,10,22 respectively then find the volume of the cuboid. - The frustum

A frustum of a pyramid is 4 cm at the top and 7 cm at the bottom square, and it's 6 cm high. Calculate the volume of the frustum. - Height or altitude

Find the altitude (in cm) of side MT of triangle MNT with side MN = 36 cm, MT = 36 cm and NT = 48 cm. - Mean proportional

If x+7 is the mean proportional between (x+3) and (x+12), find the value of x . - The length 19

The length and the width of a rectangle are (x+2) and (x-3). If it area is 24cm², what are its dimensions?

- Missing side length

Use the Pythagorean Theorem (a² + b²=c²) to find a missing side length: a = 5; c = 13 ; b=? - Number 77

Find a number which is as much greater than 31 as it is less than 77. Many failed to do it! - PQR - Euclid

Find the length of line segment PR - leg of the right triangle PQR. PQ=17 cm PS=15 cm QS=8 cm; Point S is the height touch point with a hypotenuse of the RQ. - A conical

A conical tent can accommodate 11 people. Each person needs 4 m² of space on the ground and 20 m³ of air to breathe. Find the height of the tent. - Find area 2

Find the area of the green region in the given picture. Dimensions are shown.

Do you have homework that you need help solving? Ask a question, and we will try to solve it.