Area + expression of a variable from the formula - practice problems
Number of problems found: 770
- A cone 2
A cone has slant height of 10 cm and a curved surface area of 50 pi cm square. Find the base radius of the cone.
- The length 11
The length of a rectangle is four times its width. If the area is 100 m², what is the length of the rectangle?
- Two pots
Two similar pots have heights of 16 cm and 10 cm if the smaller pot holds 0,75 l. Find the capacity of the larger pot
- Calculate 74024
The diagonal of the axial section of the rotating cylinder is 6 cm, and its surface is 30 cm square. Calculate the radius of the base.
- Calculate 73704
A vertical regular 3-sided pyramid is given. The side of the base a = 5cm, and the height is 8 cm. Calculate the volume and area.
- Isosceles right triangle
If the square of the hypotenuse of an isosceles right triangle is 128 cm2, find the length of each side.
- Square-shaped 73564
The map shows a square-shaped field with a side length of 0.7 cm. Its area is 49 ha. Specify the scale of the map.
- Calculate 73434
Calculate the volume and surface area of the cone with a diameter of 20 cm and a height of 15 cm.
- A capacity
If the cylinder at the right holds a capacity of 2 205 cm³ and its base area of 105 cm2, how high is the cylinder?
- World's
World's biggest indoor aquarium. In its enormous tank with the capacity represented by the following polynomial V=4x³+43x²+63x the aquarium is a rectangular prism shape, find the following: 1. If the height of the aquarium is x, then find the area of the
- Casserole 72634
The casserole with a volume of V = 4.5 l has a depth of h = 10 cm. Calculate its inside diameter.
- Centimeters 72534
Calculate the edge c and the surface S of a block if its volume is equal to 42 cubic centimeters, a = 6cm, b = 3.5cm, c =?
- Trapezoid 45
Trapezoid with: Area: 345 1/2 sq cm base 1= 15 1/3 cm height= 4 1/5 cm What size has base 2?
- Circumference 72414
Calculate the diagonal and the area of a square if its circumference is 10 centimeters.
- Surface 72394
The volume of the cube is 15625 cubic meters. Find the length of the edge and the surface of the cube.
- A rectangle 10
A rectangle has a length of 8 millimeters and an area of 216 square millimeters. What is the width? What is the perimeter?
- Centimeters 72134
The area of the square is equal to 1024 square centimeters. Calculate the perimeter of the square and the length of the side a.
- The circumference 3
The circumference of a cylindrical water tank is 62.8m. When it is 4/5 full of water it holds 125.6hl. Find the depth of the tank?
- Cylinder-shaped 71844
The cylinder-shaped tank with a diameter of 100 cm is 50% full and contains 7850 l of water. What is the height of the tank?
- Raymond
Raymond is designing a 1 litre Tetrapak for milk, he knows that the rectangular base must be 50mm by 100mm, therefore he needs to make the height of the tetrapak.
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