Area of shape - 6th grade (11y) - math problems
Number of problems found: 181
- Isosceles trapezoid
Find the area of an isosceles trapezoid with bases of 8cm and 72mm. The height of the trapezoid is equal to three-quarters of the longer base.
- Rectangular garden
Rectangular garden has a length of 48.7 m, a width of 6.3 meters shorter than the length. How much mesh should be bought for its fencing if the gate is 2.9 m long and the gate 1.1 m? What is the area of the garden?
The content of the triangle is 35 cm2. The length of the base is 10 cm. Determine the length of the height on the base.
- Cylinder container
The cylindrical container with a diameter of 1.8 m contains 2,000 liters of water. How high does the water reach?
- Wooden box
The block-shaped box was placed on the ground, leaving a rectangular print with 3 m and 2 m. When flipped over to another wall, a print with dimensions of 0.5 m and 3 m remained in the sand. What is the volume of the wooden box?
- The corridor
The corridor is 12 m long and 3.6 m wide. It must be paved with rectangular tiles measuring 15 cm and 30 cm. Are 1000 pieces of tiles enough to pave the corridor?
- Two sides paint
The door has the shape of a rectangle with dimensions of 260cm and 170cm. How many cans of paint will be needed to paint this door if one can of paint cover 2m2 of the area? We paint the doors on both sides.
- Largest squares
How many of the largest square sheets did the plumber cut the honeycomb from 16 dm and 96 dm?
How many crowns CZK do we pay for a carpet for a bedroom, when 1m of square carpet costs 350 CZK and the bedroom has dimensions of 4m and 6m? How many crowns do we pay for a strip around the carpet, when 1m of the strip costs 15 CZK?
3750 cm square of wallpaper is needed to glue a cube-shaped box. Can Dad cut out the whole necessary piece of wallpaper as a whole if he has a roll of wallpaper 50 cm wide?
- Height to the base
The triangle area is 35 cm ^ 2. The size of the base is 10 cm. Find the length of height to the base.
- The playground
The playground has the shape of a square with a side of 64 m. It is fenced on three sides. What is the area of the playground and how long is its fence?
- Of the
Of the formula S = the surface of the cuboid S=2. (ab+ac+bc) express unknown c. C =?
On the special playground, there are 81 square sectors, each with a side of 5 m. How many players can fit on the playground if each player needs a 75 m2 area to play?
In parallelogram ABCD is a = 2.5 cm and height to side a is 7.2 cm and height to side b is 4 cm. Find the side length b.
- Two 2D shapes
Decide which shapes have more area: (a) a square of 8cm side; or (b) two rectangles with sides 5cm and 15cm? Write result as 1 or 2 (rectangles)
- The schoolyard
The schoolyard had the shape of a square with an 11m side. The yard has been enlarged by 75 m2 and has a square shape again. How many meters was each side of the yard enlarged?
- Paint cans
How many paint cans do we need to paint the floor in two rooms with dimensions of 6.8m x 4.5m and 6m x3.8m? One can are for 6m².
Find the radius of the circle with area S = 200 cm².
A square of 12 dm perimeter is cut smaller square, whose side is the third side of the square. What is the area of the rest?
Examples of area of plane shapes. Examples for 6th grade (the sixth graders).