Square practice problems - page 145 of 150
Number of problems found: 2999
- The plaster cast
The plaster cast has the shape of a regular quadrilateral pyramid. The cover consists of four equilateral triangles with a 5 m side. Calculate its volume and surface area. - Pyramid Height and Surface
Calculate the height and surface of a regular quadrilateral pyramid with a base edge a = 8 cm and a wall height w = 10 cm. - Pyramid measurements
The regular quadrilateral pyramid is 2 m high. The height of the sidewall is 2.8 m. What are the dimensions of the base? Calculate the surface area and volume of the pyramid. - Triangle construction sides
Construct a right triangle ABC with the hypotenuse AB: a) | AB | = 72 mm, | BC | = 51 mm b) | AB | = 58 mm, | AC | = 42 mm - Circle arc
Calculate the circular arc area in m² where the diameter is 263 dm and the central angle is 40°. Please result round to three decimal places. - Concentric circles and chord
In a circle with a diameter d = 10 cm, a chord with a length of 6 cm is constructed. What radius has the concentric circle while touching this chord? - Quadrangular pyramid
Given is a regular quadrangular pyramid with a square base. The body height is 30 cm, and volume V = 1000 cm³. Calculate its side and its surface area. - Two patches
Peter taped the wound with two rectangular patches (one over the other to form the letter X). The area sealed with both patches simultaneously had an area of 40cm² and a circumference of 30cm. One of the patches was 8cm wide. What was the width of the sec - Circle
The circle k with diameter |MN| = 85. Point J lies on the circle k. Line |NJ|=12. Calculate the length of a segment JM. - Intersection + tangents
Given a circle with a radius r = 4 cm and a point A for which |AS| applies = 10 cm. Calculate the distance of point A from the intersection of the points of contact of the tangents drawn from point A to the circle. - Pyramid volume calculation
Calculate the volume of a regular quadrilateral pyramid whose wall height is w = 12cm. - 4s pyramid
A regular tetrahedral pyramid has a base edge a=8 and a collateral edge length b=20. What is its height? - Horizontal watertank
We have a horizontal tank shaped like a rainwater cylinder, 3.45 m long and 1.7 m wide. Calculate how many liters of water is in first centimeters. - Calculate sphere cap
Calculate the surface of a spherical cap with a height of 6 cm and a radius of 15 cm - Fountain grass seed
How many kg of grass seed should be bought to establish a lawn around a circular fountain with a diameter of 5 m if the lawn is to be 1.5 m wide and 1 g of grass seed is used per 1 dm of the square area? - Quadrilateral pyramid
A regular quadrilateral pyramid has a volume of 24 dm³ and a base edge a = 4 dm. Calculate: a/height of the pyramid b/sidewall height c/surface of the pyramid - Chord distance length
The radius of the circle is 5.5 cm. The height is 2.3 cm, which is the chord's distance. How can we calculate the length of the string? - Quadrilateral pyramid
Find the height and surface of a regular quadrilateral pyramid with a base edge a = 8cm and a wall height w = 10cm. Sketch a picture. - Pyramid height calculation
In a regular quadrilateral pyramid, the base edge a = 6cm, and the side edge b = 10cm. Calculate the height of the pyramid. - Pyramid Volume Wall Height
Calculate the volume of a regular quadrilateral pyramid, whose wall height is w = 12 cm and the edge of the base is a = 5 cm.
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