Area - practice problems - page 9 of 158

Number of problems found: 3159

Body mass index
Compute for BMI, then classify: Nr; weight ; height 1; 35 kg ; 1.25 m 2; 40 kg; 1.40 m 3; 50 kg; 1.75 m 4; 55 kg; 1.65 m 5; 63 kg; 1.23 m
A piece 7
A piece of dry ice is in the shape of a cube with edge lengths of 7cm. Find the surface area of the dry ice.
Three 222
Three tractor drivers working on a private farm together played 24 hectares of land in a shift. The first drive played half the second, and the second 4 hectares more than the third. Calculate the number of hectares played by the first, second and third.
Distributive property 2
Show with a drawing that 5 × (6 + 2) = 5 × 6 + 5 × 2. What is the name of this property?
Cutting paper
Jodi is cutting out pieces of paper that measure 8 1/2 inches by 11 inches from a larger sheet of paper that has an area of 1,000 square inches. What is the area of each piece of paper that Jodi is cutting out?
The 738
The area of a rectangular garden is 2400 sq m. Find the width of the garden if its length is 40m.
A triangle 8
A triangle has a base of 9.2 feet and a height of 4.8 feet. What is the area of the triangle?
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?
Diameter 132
The base diameter of a rotating cylinder is 2 m and its surface area is 34.54 m². Calculate the base radius of the given rotating cylinder, its height and volume.
Garden 3
A garden pool in the shape of a cylinder with a base diameter of 300 cm contains 25 hectolitres of water. How deep is it if the water reaches 10 cm below the rim of the pool?
Drinking trough
A drinking trough for cattle is in the shape of a cylinder measuring 2 metres in length and 80 cm in width. How much sheet metal is needed to make it, given that an additional 12% of material is added for joints?
Wall 8
A wall is 2.8m high and 4.5m wide. How many m² is that?
Calculate 258
Calculate the volume and surface area of a prism with a trapezoidal base and a height of 9 cm. The base is an isosceles trapezoid with bases of lengths 3 cm and 6 cm and arms of length 2.5 cm. The height of the base is 2cm.
Deep pool - bottom
The pool is 25m long and 12m wide. In one half of the pool, the depth is the same, 1.8m, in the other half, the bottom gradually increases to a depth of 1.2m. What is the area of the entire bottom?
Dielectric change
An air capacitor with straight plates has a capacitance C0 = 10 pF and a plate distance d = 1 cm. We place a sheet of thickness ∆= 1 mm in the middle between the plates. What will be the capacitance of the entire device? (Marginal effects can be neglected
Conductor - induction
A conductor in the shape of two circular turns with radii of R=5 cm is placed in a magnetic field with induction B=0.6 T perpendicular to the direction of induction. What is the electromagnetic voltage induced in this conductor when the magnetic field dis
Asphalt - rolling
A roller for rolling asphalt has a diameter of 80 cm and a width of 1.2 m. How many square meters of road does it roll if it turns twenty times?
Path 11
A path 1.5 meters wide is to be built around the perimeter of a square plot of land with a side of 28 meters. By how much will the area of the plot be reduced?
Spherical sector
Calculate the volume and surface area of a spherical sector if the spherical segment that is part of the sector has a base radius r1 = 6 cm and a height v = 2 cm.
Calculate the cylinder
Calculate the volume of the cylinder, given: S = 144π cm² height = 6 cm

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