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
Answer:
The correct option is 1.
Step-by-step explanation:
Given information: The coordinates of a right angled triangle ABC are A(0, 0), B(0, 4a – 5) and C(2a + 1, 2a + 6). Angle ABC = 90°.
It means AB and BC are legs of the right angled triangle ABC.
Side AB lies on the y-axis because the x-coordinate of both A and B is 0.
Two legs are perpendicular to each other. So, BC must be parallel to x-axis and the y-coordinate of both B and C is must be same.
Divide both sides by 2.
The value of a is 2. So the coordinates of triangle ABC are
The area of a triangle is
The area of triangle ABC is
The area of triangle ABC is 102. Therefore the correct option is 1.
Answer:
angles 1 and 2 are supplementary
Step-by-step explanation:
Answer:
140 will be his weight of Antony's weight
Answer:
Step-by-step explanation:
Give the data
198 sq.yd × 8 sq ft ×7
Note that we have two unit of measurement which are yd and ft and 7 is just a constant
So we need to convert them,
Then, 1 yd = 3ft
Also notice that they are square.
Then square both sides of the comparison
(1 yd)² = (3 ft)²
1 sq.yd = 9 sq.ft
Then, back to our question,
198 sq.yd × 8 sq ft ×7
Let covert to ft
198 sq.yd× (9 sq.ft/1 sq.yd) ×8 sq.ft×7
sq.yd cancels out
99,792 sq.ft × sq.ft
99,792 ft⁴
Let convert to yd
198 sq.yd × 8 sq ft ×7
198 sq.yd×8 sq.ft (1 sq.yd / 9sq.ft )×7
1,232 sq.yd × sq.yd
1,232 yd⁴
