Area + exponentiation - practice problems
Number of problems found: 23
- Indoor aquarium
World's biggest indoor aquarium. In its enormous tank with the capacity represented by the following polynomial V=4x³+43x²+63x The aquarium is rectangular prism shape. Find the following: 1. If the aquarium's height is x, then find the area of the base (B - Determine 7488
The lengths of the edges of the two cubes are in the ratio 2:3. Determine how many times the surface of the larger cube is larger than the surface of the smaller cube. - Cube surface and volume
Find the surface of the cube with a volume of 27 dm³. - Deformed 5992
Fifty small metal cubes with an edge length of 2 cm were deformed, and we made one large cube from this material. What is its surface?
- Cube
One cube has an edge increased five times. How many times will larger its surface area and volume? - Determine 3779
Determine the perimeter of the rectangle if its length and width are 2:1 and the area is 98 cm². - Side of a square
What is the length of the side of a square when its area is 64 cm square? - Sides of the triangle
Calculate triangle sides where its area is S = 84 cm² and a = x, b = x + 1, xc = x + 2 - Cube 6
The volume of the cube is 216 cm³. Calculate its surface area.
- Volume from surface area
What is the volume of the cube whose surface area is 96 cm²? - Funnel
The funnel has the shape of an equilateral cone. Calculate the surface wetted with water if we poured into the funnel 7.1 liters of water. - Prism X
The prism with the edges of the lengths x cm, 2x cm, and 3x cm has a volume 29478 cm³. What is the area of the surface of the prism? - Balls
Three metal balls with volumes V1=81 cm³ V2=96 cm³ and V3=28 cm³ melted into one ball. Determine its surface area. - Area codes
How many 6 digit area codes are possible if the first number can't be zero?
- Ray
Light ray loses 1/14 of brightness passing through a glass plate. What is the brightness of the ray after passing through 10 identical plates? - Rhombus
Find the length of the other diagonal and the area of the rhombus. The perimeter of a rhombus is 40 cm, and one of the diagonals is of length 10 cm. - R Trapezium
Rectangular trapezium has bases 21 and 10 and area 92 cm². What is its perimeter? - Rectangular cuboid
The rectangular cuboid has a surface area 5447 cm², and its dimensions are in the ratio 2:4:1. Find the volume of this rectangular cuboid. - Wire
One pull of wire is reduced by its diameter by 14%. What will be the wire diameter with diameter 19 mm over 10 pulls?
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