Square - examples
- Roof 7
The roof has the shape of a regular quadrangular pyramid with a base edge of 12 m and a height of 4 m. How many percent is folds and waste if in construction was consumed 181.4m2 of plate?
- Three shapes
1/5 of a circle is shaded. The ratio of area if square to the sum of area of rectangle and that of the circle is 1:2. 60% of the square is shaded and 1/3 of the rectangle is shaded. What is the ratio of the area of circle to that of the rectangle?
- Square pyramid
Calculate the volume of the pyramid with the side 5cm long and with a square base, side-base has angle of 60 degrees.
- Cutting circles
From the square 1 m side we have to cut the circles with a radius of 10 cm. How many discs we cut and how many percent will be waste?
- Garden plot
Calculate how many meters of fence need to fence the square garden with length and width of 5 meters.
Trunk diameter is 72 cm. Is it possible to inscribe a square prism with side 54 cm?
Are diagonals in a rectangular trapezoid perpendicular and bisect the angles?
The cube has area of base 64 mm2. Calculate the edge length, volume and area of its surface.
- Square diagonal
Calculate length of the square diagonal if the perimeter is 200 cm.
- Square diagonal
Calculate the length of diagonal of the square with side a = 18 cm.
- Mr. Zucchini
Mr. Zucchini had a rectangular garden whose perimeter is 28 meters. Content area of the garden filled just four square beds, whose dimensions in meters are expressed in whole numbers. Determine what size could have a garden. Find all the possibilities and
Gift box has rectangular shape with dimensions of 3×3×5 cm. Martin wants to cover with square paper with sides of 10 cm. How much paper left him?
In all nine fields of given shape to be filled natural numbers so that: • each of the numbers 2, 4, 6 and 8 is used at least once, • four of the inner square boxes containing the products of the numbers of adjacent cells of the outer square, • in the cir
- Similarity of squares
The ratio of the similarity of the squares ABCD and KLMN is 2.5. Square KLMN area is greater than area of a square ABCD with side a: ?
- Square grid
Square grid consists of a square with sides of length 1 cm. Draw in it at least three different patterns such that each had a content of 6 cm2 and circumference 12 cm and that their sides is in square grid.
- Square and circles
Square with sides 41 m is circumscribed and inscribed with circles. Determine the radiuses of both circles.
- Rectangle vs square
The rectangle has dimensions of 13 × 11, square 18 × 18. Which shape has more area and how much above?
Calculate the area of masonry to build wall with dimensions of 19 m × 4 m with 5 windows of size 50 cm × 50 cm.
Plumber had to cut the metal strip with dimensions 380 cm and 60 cm to the largest squares so that no waste. Calculate the length of the sides of a square. How many squares cut it?
Calculate how many squares/rectangles of size 2×2 cm can be cut from a sheet of paper of 0.8 dm × 8 cm?