Square practice problems - page 133 of 150
Number of problems found: 2990
- Quadrilateral pyramid
The regular quadrilateral pyramid has a surface of 260 cm² and a side wall area of 40 cm². Calculate the length of the base edge and the wall height. - Suppose
Suppose you know that the length of a line segment is 15, x2=6, y2=14, and x1= -3. Find the possible value of y1. Is there more than one possible answer? Why or why not? - Square prism
Calculate the volume of a four-sided prism 2 dm high, and the base is a trapezoid with bases of 12 cm, 6 cm, a height of 4 cm, and 5 cm long arms. - Pyramid casting weight
The regular quadrilateral pyramid-shaped casting, with a base edge 60 cm in length and 5 cm in height, is made of a material density of 7.8 g / cm 3. Calculate its weight. - Triangular prism
The curved part of the rotating cylinder is four times larger than the area of its base. Determine the volume of the regular triangular prism inscribed in the cylinder. The radius of the bottom of the cylinder is 10 cm. - Calculate cylinder
A cylinder has a volume V = 120 cm³ and a height v = 4 cm. Calculate the radius and the lateral surface area S. - Angle of deviation
The surface of the rotating cone is 30 cm² (with a circle base), and its surface area is 20 cm². Calculate the deviation of this cone's side from the base's plane. - Posters on Cone
The stand on which the posters are stuck has the shape of a cone. It is 2.4 m tall. The side of the cone is 2.5 m long. How many 40cmx60 cm posters can be stuck on the stand so they do not overlap? - Pyramid volume
What is the volume of a regular quadrilateral pyramid if its base edge a = √18 cm and side edge b = 5 cm? - Pyramid Volume Height
Calculate the body height in a regular quadrilateral pyramid with a volume V = 163.3 cm3, whose base edge has a size a = 0.7dm. - Roof material
How many square meters of roofing is needed to cover the cone-shaped roof if the perimeter of its base is 15.7 m and a height of 30 dm - Elevation
What must be an observer's elevation so that he may see an object on the Earth 866 km away? Assume the Earth to be a smooth sphere with a radius 6378.1 km. - Horizon
The top of a lighthouse is 18 m above the sea. How far away is an object just "on the horizon"? [Assume the Earth is a sphere of radius 6378.1 km.] - The cap
A rotating cone shapes a jester hat. Calculate how much paper is needed for the cap 53 cm high when the head circumference is 45 cm. - Carpet area
The carpet is wound on a cardboard roll in the shape of a cylinder with a diameter of d=12cm and a length of l=2m. The rolled-up carpet has an outer diameter of D=38cm, and the thickness of the rug is 8mm. What area can the carpet cover after unfolding? D - Same area
There is a given triangle. Construct a square of the same area. - Prism height
A regular perpendicular quadrilateral prism with a base edge of 10 cm has a volume of 10 dm³. What is the height of this prism? - Center of line segment
Calculate the distance of point X [1,3] from the center of the line segment x = 2-6t, y = 1-4t; t is from interval <0,1>. - Segment
Calculate the segment AB's length if the coordinates of the end vertices are A[0, -2] and B[-4, 9]. - A plane vs. sphere
The intersection of a plane is 2 cm from the sphere's center, and this sphere is a circle whose radius is 6 cm. Calculate the surface area and volume of the sphere.
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