Square practice problems - page 7 of 150

Number of problems found: 2990

The area 3
The area of a rectangle is given by the expression 4x² + 5x -6. What is the length of the rectangle if its width is x+2?
Two circles 3
Two circles are inscribed in a square with a side of 4 cm. Find the radius of the smaller circle.
Cuboid - sum of edges length
Calculate the cuboid's dimensions if the sum of its edges is 19 cm. The body's diagonal size is 13 cm, and its volume is 144 cm³. The total surface area is 192 cm².
Square yards
What is 4 1/3 yards times 5 2/3 yards?
Trigonometric fx
When an acute angle φ is in the standard position, its terminal side passes through point P (1,3). Find trigonometric functions of angle θ : sin φ, cos φ, tan φ, cotan φ.
Sq feet converions
What is the area in square feet of a room that is 10' 3" x 16' 9"?
The areas
The areas of two similar triangles are 12 sq cm and 48 sq cm. If the height of the smaller one is 2.1 cm, then find the height of the bigger one.
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.
A frustum
A frustum of a pyramid consists of a square base of length 10 cm and a top square of length 7 cm. The height of the frustum is 6 cm. Calculate the surface area and volume.
Spheres - ratios
The surface areas of two spheres are in the ratio 1:4. Find the ratio of their volumes.
Eva wraps
Eve wraps a gift box in the shape of a right rectangular prism. The figure shows a net for the gift box. How much wrapping paper did she use, in square metres?
The surface 5
The surface area of a cylinder is 6,140 cm², and the base radius is 25 cm. What is the height?
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.
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.
Triangle 82
Triangle PQR has vertices located at (2, 2), (5, -4), and (-4, -1). What type of triangle is triangle PQR?
Ones cube
Find the volume of a cube whose total surface area is 6 m².
Perfect square or cube
Would you classify 324 as a perfect square, perfect cube, both, or neither? ...
The coordinates 3
The coordinates of two vertices of an equilateral triangle are (1,1) and (5,1). What are the coordinates of the third vertex?
Prism - base and height
Find the volume of a prism if the base area equals 20 in² and the height is 12 inches.
The area 4
In square decimeters, how much is the area of a cylinder with a height of 2 dm and a diameter of 1 dm? "

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