Answer:
48 cubes can be cut from the wooden cuboid
Step-by-step explanation:
Total calculate this, we will first of all find the volume of the cuboid, and the volume of the cubes to be cut, then divide the volumes to see how many cubes can be cut from the cuboid.
Volume of cuboid = 12 × 12 × 9 = 1296 cm
volumes of each cube to be cut = 3 × 3 × 3 = 27 cm
Next, we will divide the volume of cuboid by the volume of the cubes:
Number of cubes = Volume of cuboid ÷ volume of cubes
Number of cubes = 1296 ÷ 27 = 48 cubes
Therefore, 48 cubes of sides 3cm can be cut from the wooden cuboid
Answer:
w=3.65
Step-by-step explanation:
Answer:
(1) P=4a+4
(2) P=2a+4
a
Step-by-step explanation:
Well, let us call longer side b, shorter side a and diagonal d. The perimeter of a rectangle is 2*(a+b). Let us write this formula as P=2*(a+b)
In (1) it is stated that b=a+2. Hence, the perimeter of the rectangle is P=2*(a+b). In terms of b, let us write (a+2). So P=2*(a+a+2)=4a+4.
In (2) it is stated that d/a=13 or d=13a. From Pythagorean theorem d^2=a^2+b^2. Hence, b^2=168a^2 or b=2a. Finally, P=2*(a+b)=2*(a+2a)=2a+4a
We have 2( x^2 + 5x + 6) ÷ (x + 3) = 2(x^2 + 3x + 2x + 6) ÷ (x + 3) = 2[ x( x + 3) + 2( x + 3)] = 2( x+ 3 )( x + 2 ) ÷ ( x + 3 ) = 2( x + 2 ) = 2x + 4.
Answer:
18x+24y
Step-by-step explanation:
Distribute the 6 to the 3 (6x3), this gives you 18x. (Remember, keep the x.)
Now, distribute the 6 to the 4 (6x4), which gives you 24y.
Now write it as an equation, 18x+24y.
