Area - math word problems - page 48 of 158

Number of problems found: 3149

Frustrum - volume, area
Calculate the surface and volume of a truncated rotating cone with base radii of 8 cm and 4 cm and a height of 5 cm.
Cross-section - trapezoid
The cross-section of the channel has the shape of a trapezoid. The bottom width is 2.25 m, and the depth is 5 m. The walls have a slope of 68°12' and 73°45'. Calculate the upper channel width.
Circumference 46801
Calculate side b and the height of the trapezoid if a = 5.1cm; c = 6.8cm; d = 4.7cm; circumference is 21cm, and the area is 17.85 cm².
GP - edge lengths
The block edge lengths are made up of three consecutive GP members. The sum of the lengths of all edges is 84 cm, and the volume block is 64 cm³. Determine the surface of the block.
Decorative 46721
How many liters of water can fit in a decorative garden tank in the shape of a regular hexagonal pyramid with a 30 cm long base edge? The depth of the tank is 30 cm.
Trapezoidal 46701
The prism with a trapezoidal base has the dimensions of the base a = 10 cm, b = d = 5 cm, c = 6 cm, the trapezoid height is 4.6 cm, and the height of the prism is 30 cm. Calculate its surface.
Perimeter of rhombus
The area of the rhombus is 32 cm². One side measures 10 cm. The height on the other side measures 5 cm. What is the circumference of this rhombus?
Regular quadrilateral pyramid
Find the surface area of a regular quadrilateral pyramid if for its volume V and body height v and the base edge, a applies: V = 2.8 m³, v = 2.1 m
Triangular pyramid
The regular triangular pyramid ABCDV has a base edge length of 8 cm and a height of 7 cm. Calculate the pyramid's surface area and volume.
Regular square prism
The volume of a regular square prism is 192 cm³. The size of its base edge and the body height is 1:3. Calculate the surface of the prism.
Calculate 46541
Calculate the perimeter and the area of a right triangle if a = 6 cm, b = 8 cm, c = 10 cm.
Flooring 46511
The carpet covers 8 m² of flooring, which is one-third of the entire floor area. How big is the whole floor?
Tetrahedron 46451
Calculate the surface of a regular tetrahedron if the length of the wall height v = 1 dm.
Quadrilateral 46431
Calculate the volume V and the surface S of a regular quadrilateral pyramid, the base edge and height of which are the same size as the edge of a cube with a volume V1 = 27m³
Larger sphere
The volume of the sphere is 20% larger than the volume of the cone. Find its surface if the volume of the cone is 320 cm³.
The plot
Mr. Duma recently inherited a rectangular plot, part of the estate left by his late father. The plot with the following dimensions: Length=2x+1; Width=x-1. Determine the formula, in terms of x, that best describes the area of the rectangular plot. He has
Cylinder from paper
We roll a cylinder with a height of 30 cm from a rectangle measuring 20 x 30 cm. Find its volume and surface.
Dodecagon
Find the area of a regular dodecagon (n=12) if the radius of the circumscribed circle is 5 cm.
Living room
Marina's new living room is a rectangle with a length of 8 meters and a width of 5 meters. She wants to buy a carpet to cover half of the living room, and each square meter of the carpet costs $4. How much will the total cost for Marina be?
Rectangular base
Calculate the pyramid's surface area with a rectangular base measuring 9cm, 4cm, and 6cm high.

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