Right triangle practice problems - page 58 of 86
Number of problems found: 1716
- In a regular 5
In a regular triangular prism ABCV, the deviation of the side wall and the base plane is α = 45°. Determine the deviation of the side edge and the base plane. - Square-shaped 4821
The vertical prism lies on a square-shaped base with a side 3 cm long. The diagonal of the sidewall of the prism is u = 5cm. Calculate its volume. - Tetrahedral pyramid
Calculate the surface S and the volume V of a regular tetrahedral pyramid with the base side a = 5 m and a body height of 14 m. - Parallelogram
The sides of the parallelogram are 8 cm and 6 cm long, and the diagonals' angle is 60°. What is its area? - Dimensions 4700 The toolbox has internal dimensions, a length of 1.5 meters, a width of 80 cm, and a height of 6 dm. Calculate the longest rod we can hide in this box.
- Floating barrel
The barrel (cylinder shape) floats on water, the top of the barrel is 8 dm above water, and the width of the surfaced barrel part is 23 dm. The barrel length is 24 dm. Calculate the volume of the barrel. - Circumference 56291
Calculate the circumference of a circle circumscribed by a right triangle with squares 10 cm and 15 cm long. - Diagonal
Calculate the diagonal length of the rectangle ABCD with sides a = 7 cm, b = 10 cm. - Points on circle
The Cartesian coordinate system with the origin O is a sketched circle k /center O; radius r=2 cm/. Write all the points that lie on a circle k and whose coordinates are integers. Write all the points on the circle I with center O and radius r=5 cm, whose - The diagonals
The diagonals in the diamond ABCD are 6 cm and 8 cm long. What is the perimeter of this diamond? - Triangle and Cone
A right triangle has legs 3 cm and 4 cm long. One cone (let's call it A) was created by rotating this triangle around the long leg, and the other (let's call it B) by rotating it around the shorter leg. Which cone has: a) a larger volume b) a smaller surf - Cuboid's diagonal
The cuboid has a body diagonal u=25 cm, and side b is one-third longer than side a. What is the volume of the cuboid? - Pyramid 8
Calculate the volume and the surface area of a regular quadrangular pyramid with a base side of 9 cm and a side wall with the base has an angle of 75°. - Pyramid - angle
Calculate the regular quadrangular pyramid's surface, the base edge of which is measured 6 cm, and the deviation from the plane of the base's sidewall plane is 50 degrees. - Cone and the ratio
The rotational cone has a height of 59 cm, and the ratio of the base surface to the lateral surface is 10: 12. Calculate the surface of the base and the lateral surface. - Cuboid
Cuboid with edge a=6 cm and space diagonal u=31 cm has volume V=900 cm³. Calculate the length of the other edges. - Identical 35961
Nine identical spheres are stacked in the cube to fill the cube's volume as much as possible. What part of the volume will the cube fill? - Surrounded 8283
The cube has an edge length of 5 cm. This cube surrounds a rotating cylinder. Find the surface area of the shell and the volume of the cylinder. - Perpendiculars 64574
Calculate the circle radius circumscribed by a right triangle whose perpendiculars are 10 cm and 24 cm long. - Inscribed rectangle
What is the perimeter of a rectangle inscribed in a circle whose diameter is 5 dm long? Answer: 14 dm
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