Which expressions can be added to find the volume of the solid figure?
Select all that apply.
A solid shape is made up of 2 attached rectangular prisms. First rectangular prism has a length of 3 m, height of 1 m, and width of 4 m. Second rectangular has a length of 3 m, height of 7 m, and width of 4 m
The total length of the shape is 6 meters.
A.4×3×7 and 1×3×4
B.4×6×7 and 1×3×3
C.1×4×7 and 4×3×6
D.4×6×1 and 6×4×3
E.4×6×3 and 7×3×3
ANSWER ME NOW AND I WILL GIVE U A SUPRISE IM DESPERATE
A and D trust me
give the correct answer
Kaylangan ko masagutan ang module ko na math
To find the volume of a solid figure, we need to calculate the product of the length, width, and height of the figure. Let's break down the given information first:
The first rectangular prism has a length of 3 m, height of 1 m, and width of 4 m.
The second rectangular prism has a length of 3 m, height of 7 m, and width of 4 m.
To find the volume of the entire solid figure, we need to add the volumes of these two rectangular prisms.
The volume of the first rectangular prism is given by: length × width × height = 3 × 4 × 1 = 12 m³.
The volume of the second rectangular prism is given by: length × width × height = 3 × 4 × 7 = 84 m³.
Now, let's identify the expressions that represent the sum of the volumes of the two rectangular prisms:
A. 4 × 3 × 7 and 1 × 3 × 4 = 84 m³ + 12 m³ = 96 m³.
B. 4 × 6 × 7 and 1 × 3 × 3 = 168 m³ + 9 m³ = 177 m³.
C. 1 × 4 × 7 and 4 × 3 × 6 = 28 m³ + 72 m³ = 100 m³.
D. 4 × 6 × 1 and 6 × 4 × 3 = 24 m³ + 72 m³ = 96 m³.
E. 4 × 6 × 3 and 7 × 3 × 3 = 72 m³ + 63 m³ = 135 m³.
From the options provided, the expressions that represent the volume of the solid figure are:
A. 4×3×7 and 1×3×4
D. 4×6×1 and 6×4×3
Therefore, the correct answer is A and D.
each prism's volume is length * width * height
multiplication is commutative.