Putting a = 6 and b= 3/2 in eqn. (1) the required equation is:-
x /6 + 2.y/3 = 1. or, x + 4y = 6. Answer.
The point-slope form:
We have the points (1, 2) and (3, 6). Substitute:
7(a - 10) = 13 - 2(2a + 3)
7a - 70 = 13 - 4a - 6 = 7 - 4a
7a + 4a = 7 + 70
11a = 77
a = 77/11 = 7
a = 7.
Answer:
24 cubes
Step-by-step explanation:
You can figure this a couple of ways.
I usually find it easiest to figure in terms of the number of cubes each dimension represents. The vertical dimension (3/2 cm) is the length of 3 cubes; the front-back dimension (2 cm) is the length of 4 cubes, and the width (1 cm) is the length of 2 cubes.
The total number of cubes required is the product of the dimensions in cube-lengths: 3×4×2 = 24 cubes.
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Another way to figure this is to compute the prism volume in the given dimensions (cm³) and the cube volume in the same dimensions, then find the number of cube volumes in the prism volume.
Prism volume = l×w×h = (2 cm)(1 cm)(3/2 cm) = 3 cm³
Cube volume = (1/2 cm)³ = 1/8 cm³
Then the number of cubes that will fit in the prism is ...
(3 cm³)/(1/8 cm³) = 3×8 = 24 . . . . cubes
Change the common denominator so 3/4 ---> 9/12
3/4 and 9/12 are equal
Hope this helps!!!
