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To calculate the surface-to-volume ratio of a rectangular solid measuring 4 cm long by 2 cm wide by 2 cm high, we need to find the surface area and the volume of the solid first. The formula to calculate the surface area (SA) of a rectangular solid is SA = 2(lw + lh + wh), where l is the length, w is the width, and h is the height.
The volume (V) of a rectangular solid is given by: Volume = length x width x height Since the base is square, the length and width are equal to "a". Therefore: Volume = a^2 x h Substituting the expression for "h" into the volume equation, we get: Volume = a^2 x [(150 - 4a^2) / (2a)] Simplifying further: Volume = (150a - 4a^3) / 2 To maximize ...
The volume of a rectangular solid with dimensions 4 ft x 5 ft x 10 ft is 200 cubic feet, while its surface area is 220 square feet. The volume of a rectangular solid, use the formula: Volume = length × width × height. Given the dimensions, 4 ft (length), 5 ft (width), and 10 ft (height), we calculate the volume as:
The volume, of a rectangular solid with length L , width W, and height H is given by the formula V = LWH. Use this formula to write a polynomial in standard form that models, or represents, the volume of the open box where Length is 11-2x, breadth is 6-2x and height is x.
The volume of a cube is calculated by raising the side length to the power of 3 (s³). Given the side length is 9 dm, the volume of the cube is 9 dm x 9 dm x 9 dm = 729 dm³. To make the volume of the rectangular solid smaller than the volume of the cube, the value of h which is the height must be less than 729 dm³ / 60 dm³ = 12.15 dm. To ...
The question you've asked pertains to finding the length and width of a rectangular solid given the volume equation. Firstly, it's important to note that the volume of a rectangular solid is calculated by multiplying its length, width, and height. Given the equation you posted, it is likely there are errors as the format isn't coherent.
The subject of this question is the concept of volume in mathematics, specifically in the context of calculating the dimensions of a rectangular solid. Given that volume V is equal to the product of length L, width W, and height H (V = LWH), and that the volume of the cereal box is 198 cubic inches with a width of 2 inches, you can set up the ...
Answer: 864 ft³ is the volume Step-by-step explanation: Volume = width · height · length = 12 · 9 · 8 = 864 Find the volume of a rectangular solid that is 9 ft. by 12 ft. by 8 ft. Help please - brainly.com
The formula for the volume of the region outside the smaller rectangular solid and inside the larger rectangular solid can be expressed as the volume of the larger solid minus the volume of the smaller solid. This is shown in option (a), where the volume, V, is V = (L₂ * W₂ * H₂) - (L₁ * W₁ * H₁).
The volume of the rectangular solid with dimensions of 27 mm, 6.8 cm, and 0.00025 km is 459 cubic centimeters or 459 mL. Explanation: To calculate the volume of a rectangular solid, you multiply its length, width, and height. However, before doing the calculation, all units must be converted to the same system.