Given a square with the length of one side is 8cm and an isosceles triangle with the length of its base is 12 cm . If the area of the square equal of the area of the isosceles triangle then is the length of height of the isosceles triangle ?
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Given a square with the length of one side is 8 cm and a isosceles triangle with the length of its base is 12 cm. If the area of the square is equal to the area of the isosceles triangle then what is the length of the height of the isosceles triangle, in cm?
A box contains 50 blue square cards whose the side length are 2 cm, 4 cm, 6 cm, ..., 100 cm, respectively and 50 red square cards with side lengths are 1 cm, 3 cm, 5 cm, ..., 99 cm, respectively. The total area of the blue cards is greater than the total area of the red care is .... cm2
\(2^2+4^2+...+100^2-\left(1^2+3^2+...+99^2\right)\)
\(=\left(2^2-1^2\right)+\left(4^2-3^2\right)+...\left(100^2-99^2\right)\)
\(=\left(2-1\right)\left(2+1\right)+\left(4-3\right)\left(4+3\right)+...+\left(100-99\right)\left(100+99\right)\)
\(=1+2+3+...+100\)
\(=\frac{100.\left(100+1\right)}{2}=5050\left(cm^2\right)\)
The figure below shows a square ABCD of side 6 cm. Given that E is the midpoint of AB, points F and G are on BC so that BF = FG = GC. What is the total area of the shaded region in cm2?
- Trans: Tìm thể tích của hình chóp sao cho diện tích đáy là 100cm2 và chiều cao là 9cm.
\(S=\dfrac{1}{3}.h.S_{\text{Đáy}}=\dfrac{1}{3}.9.100=300(cm^3)\)
Vậy \(S=300cm^3\)
The volume of the pyramid:
\(\dfrac{1}{3}.100.9=300\left(cm^3\right)\)
Gọi cạnh hình lập phương là \(a\left(cm\right)\)thể tích hình lập phương là \(V\left(cm^3\right)\).
Ta có: \(V=a^3\Rightarrow8x^3+60x^2+150x+125=a^3\)
\(\Rightarrow a^3=\left(2x+5\right)^3\Rightarrow a=2x+5\left(cm\right)\).
\(\Rightarrow\) Diện tích toàn phần của hình lập phương là: \(6a^2=6\left(2x+5\right)^2\left(cm^2\right)\).
\(\Rightarrow\) Diện tích toàn phần của 3 hình lập phương như thế là: \(3.6\left(2x+5\right)^2=18\left(2x+5\right)^2\left(cm^2\right)\).
A square of side 8cm has the same perimeter as a rectangle. If the ratio of the width of the rectangle to its length is 1:3 then its area is ....?
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Question 10:
A square of side 8cm has the same perimeter as a rectangle. If the ratio of the width of the rectangle to its length is 1:3 then its area is
The lengths in cm of three sides of a triangle are three consecutive odd numbers. Knowing that the perimeter of the triangle is 39cm, find the length of the longest side of the triangle. Show your work.