Home
Class 12
MATHS
A box is constructed by cutting 3-inche ...


A box is constructed by cutting 3-inche square from the corner of a square sheet of cardboard, as shown in the accompanying diagram, and then folding the sides up. If the volume of the box is 75 inches, find the number of square inches in the area of the original sheet of cardboard?

Text Solution

Verified by Experts

The correct Answer is:
`121`
Promotional Banner

Topper's Solved these Questions

  • ADDITIONAL TOPICS IN MATH

    ENGLISH SAT|Exercise EXERCISE|45 Videos

  • ADDITIONAL TOPICS IN MATH

    ENGLISH SAT|Exercise Multiple Choice|99 Videos

  • ADDITIONAL TOPICS IN MATH

    ENGLISH SAT|Exercise PRACTICE TEST|24 Videos

  • COMPLEX NUMBERS

    ENGLISH SAT|Exercise EXERCISE|6 Videos

Similar Questions

Explore conceptually related problems

An open topped box is to be constructed by removing equal squares from each corner of a 3 metre by 8 metre rectangular sheet of aluminium and folding up the sides. Find the volume of the largest such box.

If the area of the triangle shown above is 12 squares inches, what is the value of cosz?

A box of maximum volume with top open is to be made by cutting out four equal squares from four corners of a square tin sheet of side length a feet and then folding up the flaps. Find the side of the square cut-off.

The figure above shows a regular hexagon with sides of length a and a square with sides of length a. If the area of the hexagon is 384 sqrt(3) square inches, what is the area, in square inches, of the square?

A sheet of area 40m^2 is used to make an open tank with square base. Find the dimensions of the base such that the volume of this tank is maximum.

A cylindrical tube with ngligible thichness is placed into a rectangular box that is 3 inches by 4 inches by 8 inches, as shown in the accompanying diagram. If the tubes fits exactly into the box diagonally from the bottom left corner to the top right back corner, what is the best approximately of the number of inches in the length of the cube?

A circle has a radius that is the same length as the sides of a square , if the square has a perimeter of 64 square inches , what is the area , in square inches , of the circle ?

A square piece of cardbroad measuring x inches by x inches is to be used to form an open box by cutting off 2-inch squares, and then folding the slides up along the dotted lines, as shown in the figure above. If x is an integer , and the volume of the box must be greater than 128 cubic inches , what is the smallest value of x that can be used ?

A rectangular box with an open top is constructed from cardboard to have a square base of area x^(2) and height h. If the volume of this box is 50 cubic units, how many square units of cardboard in terms of x, are needed to build this box ?

The area of right triangle is 35 square inches. If the longer leg is 3 inches longer than the shorter leg, what is the length of the hypotenuse, in inches ?

ENGLISH SAT-ADDITIONAL TOPICS IN MATH-Grib-In
  1. In the figure, MATH is a rectangle, GB=4.8, MH=6, and HT=15. The area ...

    Text Solution

    |

  2. In the figure above, quadrilateral ABED, BFGC, and ACHJ are square. If...

    Text Solution

    |

  3. In the figure above, the sum of the area of the three shaded semicircl...

    Text Solution

    |

  4. In the figure above, each arc is a semicircle. If S is the midpoint ...

    Text Solution

    |

  5. What is the distance in the xy-plane from the point (3, -6) to the cen...

    Text Solution

    |

  6. In the figure above, overline(PA) is tangent to circle O at point A, o...

    Text Solution

    |

  7. The diagram above shows a semicircular arch over a street that has a r...

    Text Solution

    |

  8. The dimensions of a rectangular box are integers greater than 1. If th...

    Text Solution

    |

  9. The Partside Packing Company needs a rectangular shipping box. The box...

    Text Solution

    |

  10. A planned building was going to be 100 feet long, 75 feet deep,and 300...

    Text Solution

    |

  11. A box is constructed by cutting 3-inche square from the corner of a sq...

    Text Solution

    |

  12. Two spheres that are tangent to each other have columes of 36pi cubic ...

    Text Solution

    |

  13. A sealed cylindrical can holds three tennis balls each with diameter o...

    Text Solution

    |

  14. The slant height of a pyramid is the perpendicular distance from the v...

    Text Solution

    |

  15. A bookend that weights 0.24 pounds is shaped like a pyramid with squa...

    Text Solution

    |

  16. In the figure above, what is the value of sinA-cosA?

    Text Solution

    |

  17. A lawn sprinkler sprays water in a circular pattern at a distance of 1...

    Text Solution

    |

  18. In figure above, angles ACB and DEB are right angles, AC=15, DE=12, an...

    Text Solution

    |

  19. For Question 4 and 5 refer to the diagram A flagpole that stands ...

    Text Solution

    |

  20. For Question 4 and 5 refer to the diagram A flagpole that stands ...

    Text Solution

    |