Square root - practice problems - page 3 of 70
Number of problems found: 1386
- 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 . - Missing side length
Use the Pythagorean Theorem (a² + b²=c²) to find a unknown 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. - Slant height 3
The frustum of a right circular cone has the diameters of base 10 cm of top 6 cm and a height of 5 cm. Find the slant height. - Smaller square
Let the points A, B, C and D are midpoints of the sides of the square PQRS. If the area of PQRS is 100 sq cm, what is the area of the smaller square ABCD? - A trader
A trader sold two saree at Rs 96 each & it causes the same% of profit and loss to each saree. If, as a whole he gets total loss of 4%, then what is the gain/loss% in the sale? - The area 5
The area of a rhombus is 144 sq cm. If one of the diagonals is double the other, find the length of the diagonals. - A parallelogram The area of a parallelogram is 338 m². If its altitude is twice the corresponding base, find the base and the altitude.
- Parallelogram - right angles
In parallelogram ABCD; AB = 16 cm, BC = 12 cm and diagonal AC = 20 cm. Find the area of the parallelogram. - The product 15
The product of two consecutive even numbers is 48. If the square of the smaller number is 35, what is the other number? - An equilateral triangle 2
If the sides of an equilateral triangle are increased by 2 meters, the area is increased by 7√3 square meters. Find the length of the side. - A tree 2
A tree is broken at a height of 6 m from the ground and its top touches the ground at a distance of 8 m from the base of the tree. Find the original height of the tree. - Sides to area
If the sides of a triangle are 26 cm, 24 cm, and 10 cm, what is its area? - Triangular field Find the area of a triangular field whose sides are 78m, 50m, and 112m.
- Sum of squares
The product of two numbers is 12. If the sum of their squares is 40, find the numbers.
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